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Simplifying 4(x + -1) + -3(x + 2) = 2(1 + -1x) + 9 Reorder the terms: 4(-1 + x) + -3(x + 2) = 2(1 + -1x) + 9 (-1 * 4 + x * 4) + -3(x + 2) = 2(1 + -1x) + 9 (-4 + 4x) + -3(x + 2) = 2(1 + -1x) + 9 Reorder the terms: -4 + 4x + -3(2 + x) = 2(1 + -1x) + 9 -4 + 4x + (2 * -3 + x * -3) = 2(1 + -1x) + 9 -4 + 4x + (-6 + -3x) = 2(1 + -1x) + 9 Reorder the terms: -4 + -6 + 4x + -3x = 2(1 + -1x) + 9 Combine like terms: -4 + -6 = -10 -10 + 4x + -3x = 2(1 + -1x) + 9 Combine like terms: 4x + -3x = 1x -10 + 1x = 2(1 + -1x) + 9 -10 + 1x = (1 * 2 + -1x * 2) + 9 -10 + 1x = (2 + -2x) + 9 Reorder the terms: -10 + 1x = 2 + 9 + -2x Combine like terms: 2 + 9 = 11 -10 + 1x = 11 + -2x Solving -10 + 1x = 11 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -10 + 1x + 2x = 11 + -2x + 2x Combine like terms: 1x + 2x = 3x -10 + 3x = 11 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + 3x = 11 + 0 -10 + 3x = 11 Add '10' to each side of the equation. -10 + 10 + 3x = 11 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = 11 + 10 3x = 11 + 10 Combine like terms: 11 + 10 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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