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Simplifying 5(8x + -7) + -1(4x + -12) = 4(3x + -6) + -24 Reorder the terms: 5(-7 + 8x) + -1(4x + -12) = 4(3x + -6) + -24 (-7 * 5 + 8x * 5) + -1(4x + -12) = 4(3x + -6) + -24 (-35 + 40x) + -1(4x + -12) = 4(3x + -6) + -24 Reorder the terms: -35 + 40x + -1(-12 + 4x) = 4(3x + -6) + -24 -35 + 40x + (-12 * -1 + 4x * -1) = 4(3x + -6) + -24 -35 + 40x + (12 + -4x) = 4(3x + -6) + -24 Reorder the terms: -35 + 12 + 40x + -4x = 4(3x + -6) + -24 Combine like terms: -35 + 12 = -23 -23 + 40x + -4x = 4(3x + -6) + -24 Combine like terms: 40x + -4x = 36x -23 + 36x = 4(3x + -6) + -24 Reorder the terms: -23 + 36x = 4(-6 + 3x) + -24 -23 + 36x = (-6 * 4 + 3x * 4) + -24 -23 + 36x = (-24 + 12x) + -24 Reorder the terms: -23 + 36x = -24 + -24 + 12x Combine like terms: -24 + -24 = -48 -23 + 36x = -48 + 12x Solving -23 + 36x = -48 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -23 + 36x + -12x = -48 + 12x + -12x Combine like terms: 36x + -12x = 24x -23 + 24x = -48 + 12x + -12x Combine like terms: 12x + -12x = 0 -23 + 24x = -48 + 0 -23 + 24x = -48 Add '23' to each side of the equation. -23 + 23 + 24x = -48 + 23 Combine like terms: -23 + 23 = 0 0 + 24x = -48 + 23 24x = -48 + 23 Combine like terms: -48 + 23 = -25 24x = -25 Divide each side by '24'. x = -1.041666667 Simplifying x = -1.041666667
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