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Simplifying 3(x + 1) + 5(2x + -2) = 3(3x + -4) Reorder the terms: 3(1 + x) + 5(2x + -2) = 3(3x + -4) (1 * 3 + x * 3) + 5(2x + -2) = 3(3x + -4) (3 + 3x) + 5(2x + -2) = 3(3x + -4) Reorder the terms: 3 + 3x + 5(-2 + 2x) = 3(3x + -4) 3 + 3x + (-2 * 5 + 2x * 5) = 3(3x + -4) 3 + 3x + (-10 + 10x) = 3(3x + -4) Reorder the terms: 3 + -10 + 3x + 10x = 3(3x + -4) Combine like terms: 3 + -10 = -7 -7 + 3x + 10x = 3(3x + -4) Combine like terms: 3x + 10x = 13x -7 + 13x = 3(3x + -4) Reorder the terms: -7 + 13x = 3(-4 + 3x) -7 + 13x = (-4 * 3 + 3x * 3) -7 + 13x = (-12 + 9x) Solving -7 + 13x = -12 + 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. -7 + 13x + -9x = -12 + 9x + -9x Combine like terms: 13x + -9x = 4x -7 + 4x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 -7 + 4x = -12 + 0 -7 + 4x = -12 Add '7' to each side of the equation. -7 + 7 + 4x = -12 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = -12 + 7 4x = -12 + 7 Combine like terms: -12 + 7 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25
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