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Simplifying 3(x + 4) + -4(3x + -10) = 4(2x + -3) + 6(3x + -1) Reorder the terms: 3(4 + x) + -4(3x + -10) = 4(2x + -3) + 6(3x + -1) (4 * 3 + x * 3) + -4(3x + -10) = 4(2x + -3) + 6(3x + -1) (12 + 3x) + -4(3x + -10) = 4(2x + -3) + 6(3x + -1) Reorder the terms: 12 + 3x + -4(-10 + 3x) = 4(2x + -3) + 6(3x + -1) 12 + 3x + (-10 * -4 + 3x * -4) = 4(2x + -3) + 6(3x + -1) 12 + 3x + (40 + -12x) = 4(2x + -3) + 6(3x + -1) Reorder the terms: 12 + 40 + 3x + -12x = 4(2x + -3) + 6(3x + -1) Combine like terms: 12 + 40 = 52 52 + 3x + -12x = 4(2x + -3) + 6(3x + -1) Combine like terms: 3x + -12x = -9x 52 + -9x = 4(2x + -3) + 6(3x + -1) Reorder the terms: 52 + -9x = 4(-3 + 2x) + 6(3x + -1) 52 + -9x = (-3 * 4 + 2x * 4) + 6(3x + -1) 52 + -9x = (-12 + 8x) + 6(3x + -1) Reorder the terms: 52 + -9x = -12 + 8x + 6(-1 + 3x) 52 + -9x = -12 + 8x + (-1 * 6 + 3x * 6) 52 + -9x = -12 + 8x + (-6 + 18x) Reorder the terms: 52 + -9x = -12 + -6 + 8x + 18x Combine like terms: -12 + -6 = -18 52 + -9x = -18 + 8x + 18x Combine like terms: 8x + 18x = 26x 52 + -9x = -18 + 26x Solving 52 + -9x = -18 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 52 + -9x + -26x = -18 + 26x + -26x Combine like terms: -9x + -26x = -35x 52 + -35x = -18 + 26x + -26x Combine like terms: 26x + -26x = 0 52 + -35x = -18 + 0 52 + -35x = -18 Add '-52' to each side of the equation. 52 + -52 + -35x = -18 + -52 Combine like terms: 52 + -52 = 0 0 + -35x = -18 + -52 -35x = -18 + -52 Combine like terms: -18 + -52 = -70 -35x = -70 Divide each side by '-35'. x = 2 Simplifying x = 2
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