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Simplifying 7(2x + -2) + 4(1 + -1x) = 9(2x + -5) + -3(3x + -5) Reorder the terms: 7(-2 + 2x) + 4(1 + -1x) = 9(2x + -5) + -3(3x + -5) (-2 * 7 + 2x * 7) + 4(1 + -1x) = 9(2x + -5) + -3(3x + -5) (-14 + 14x) + 4(1 + -1x) = 9(2x + -5) + -3(3x + -5) -14 + 14x + (1 * 4 + -1x * 4) = 9(2x + -5) + -3(3x + -5) -14 + 14x + (4 + -4x) = 9(2x + -5) + -3(3x + -5) Reorder the terms: -14 + 4 + 14x + -4x = 9(2x + -5) + -3(3x + -5) Combine like terms: -14 + 4 = -10 -10 + 14x + -4x = 9(2x + -5) + -3(3x + -5) Combine like terms: 14x + -4x = 10x -10 + 10x = 9(2x + -5) + -3(3x + -5) Reorder the terms: -10 + 10x = 9(-5 + 2x) + -3(3x + -5) -10 + 10x = (-5 * 9 + 2x * 9) + -3(3x + -5) -10 + 10x = (-45 + 18x) + -3(3x + -5) Reorder the terms: -10 + 10x = -45 + 18x + -3(-5 + 3x) -10 + 10x = -45 + 18x + (-5 * -3 + 3x * -3) -10 + 10x = -45 + 18x + (15 + -9x) Reorder the terms: -10 + 10x = -45 + 15 + 18x + -9x Combine like terms: -45 + 15 = -30 -10 + 10x = -30 + 18x + -9x Combine like terms: 18x + -9x = 9x -10 + 10x = -30 + 9x Solving -10 + 10x = -30 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -10 + 10x + -9x = -30 + 9x + -9x Combine like terms: 10x + -9x = 1x -10 + 1x = -30 + 9x + -9x Combine like terms: 9x + -9x = 0 -10 + 1x = -30 + 0 -10 + 1x = -30 Add '10' to each side of the equation. -10 + 10 + 1x = -30 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -30 + 10 1x = -30 + 10 Combine like terms: -30 + 10 = -20 1x = -20 Divide each side by '1'. x = -20 Simplifying x = -20
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