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Simplifying 3(x + -1) = 5x + 7 + -2(-4x + -3) Reorder the terms: 3(-1 + x) = 5x + 7 + -2(-4x + -3) (-1 * 3 + x * 3) = 5x + 7 + -2(-4x + -3) (-3 + 3x) = 5x + 7 + -2(-4x + -3) Reorder the terms: -3 + 3x = 5x + 7 + -2(-3 + -4x) -3 + 3x = 5x + 7 + (-3 * -2 + -4x * -2) -3 + 3x = 5x + 7 + (6 + 8x) Reorder the terms: -3 + 3x = 7 + 6 + 5x + 8x Combine like terms: 7 + 6 = 13 -3 + 3x = 13 + 5x + 8x Combine like terms: 5x + 8x = 13x -3 + 3x = 13 + 13x Solving -3 + 3x = 13 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -3 + 3x + -13x = 13 + 13x + -13x Combine like terms: 3x + -13x = -10x -3 + -10x = 13 + 13x + -13x Combine like terms: 13x + -13x = 0 -3 + -10x = 13 + 0 -3 + -10x = 13 Add '3' to each side of the equation. -3 + 3 + -10x = 13 + 3 Combine like terms: -3 + 3 = 0 0 + -10x = 13 + 3 -10x = 13 + 3 Combine like terms: 13 + 3 = 16 -10x = 16 Divide each side by '-10'. x = -1.6 Simplifying x = -1.6
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