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Simplifying -7(x + 1) + 4(3x + -6) = 4(x + -3) + 11 Reorder the terms: -7(1 + x) + 4(3x + -6) = 4(x + -3) + 11 (1 * -7 + x * -7) + 4(3x + -6) = 4(x + -3) + 11 (-7 + -7x) + 4(3x + -6) = 4(x + -3) + 11 Reorder the terms: -7 + -7x + 4(-6 + 3x) = 4(x + -3) + 11 -7 + -7x + (-6 * 4 + 3x * 4) = 4(x + -3) + 11 -7 + -7x + (-24 + 12x) = 4(x + -3) + 11 Reorder the terms: -7 + -24 + -7x + 12x = 4(x + -3) + 11 Combine like terms: -7 + -24 = -31 -31 + -7x + 12x = 4(x + -3) + 11 Combine like terms: -7x + 12x = 5x -31 + 5x = 4(x + -3) + 11 Reorder the terms: -31 + 5x = 4(-3 + x) + 11 -31 + 5x = (-3 * 4 + x * 4) + 11 -31 + 5x = (-12 + 4x) + 11 Reorder the terms: -31 + 5x = -12 + 11 + 4x Combine like terms: -12 + 11 = -1 -31 + 5x = -1 + 4x Solving -31 + 5x = -1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -31 + 5x + -4x = -1 + 4x + -4x Combine like terms: 5x + -4x = 1x -31 + 1x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 -31 + 1x = -1 + 0 -31 + 1x = -1 Add '31' to each side of the equation. -31 + 31 + 1x = -1 + 31 Combine like terms: -31 + 31 = 0 0 + 1x = -1 + 31 1x = -1 + 31 Combine like terms: -1 + 31 = 30 1x = 30 Divide each side by '1'. x = 30 Simplifying x = 30
| -46-8x=44-11x | | -3x-66=-9x+108 | | 7d+3=2d+13 | | 3c+58=97 | | -4+7x=66 | | 2x+4x-7=35 | | 2(6d+3)=17-3(16-3d) | | 30-4x=-5(-8-3x) | | 14-x=-x-2x | | 1/(x*x)+7/x+12=0 | | 4-10=z/3 | | -19-5x=-8x+20 | | 6w+14=26 | | -3/5u+2 | | 1/4p-3=7 | | 30-40x=-5(4x+5)-5(-8-3x) | | -3j=15 | | 27=57+6k | | 4x^4-12x^3-28x^2+48x-36=0 | | x+5x/3=56 | | a/3-17=24 | | 4a-11=42 | | 15=9/3k | | -10+3f=5f | | 3+5x=-32 | | -74+6x=-3x+88 | | 3n+3(1-n)-n=3 | | (-5x)/(3x+18)=(7x)/(6x+36)+(2x-1)/(x+6) | | 17=m/2 | | 10n^2-3=8n | | 7(7+y)=6(2+y) | | 1/2p+15=29 |