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Simplifying 3(2x + -4) + -1(x + -3) = 7(x + 2) + -1 Reorder the terms: 3(-4 + 2x) + -1(x + -3) = 7(x + 2) + -1 (-4 * 3 + 2x * 3) + -1(x + -3) = 7(x + 2) + -1 (-12 + 6x) + -1(x + -3) = 7(x + 2) + -1 Reorder the terms: -12 + 6x + -1(-3 + x) = 7(x + 2) + -1 -12 + 6x + (-3 * -1 + x * -1) = 7(x + 2) + -1 -12 + 6x + (3 + -1x) = 7(x + 2) + -1 Reorder the terms: -12 + 3 + 6x + -1x = 7(x + 2) + -1 Combine like terms: -12 + 3 = -9 -9 + 6x + -1x = 7(x + 2) + -1 Combine like terms: 6x + -1x = 5x -9 + 5x = 7(x + 2) + -1 Reorder the terms: -9 + 5x = 7(2 + x) + -1 -9 + 5x = (2 * 7 + x * 7) + -1 -9 + 5x = (14 + 7x) + -1 Reorder the terms: -9 + 5x = 14 + -1 + 7x Combine like terms: 14 + -1 = 13 -9 + 5x = 13 + 7x Solving -9 + 5x = 13 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -9 + 5x + -7x = 13 + 7x + -7x Combine like terms: 5x + -7x = -2x -9 + -2x = 13 + 7x + -7x Combine like terms: 7x + -7x = 0 -9 + -2x = 13 + 0 -9 + -2x = 13 Add '9' to each side of the equation. -9 + 9 + -2x = 13 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = 13 + 9 -2x = 13 + 9 Combine like terms: 13 + 9 = 22 -2x = 22 Divide each side by '-2'. x = -11 Simplifying x = -11
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