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Simplifying -3(x + 4) + 5 = 2(x + 1) Reorder the terms: -3(4 + x) + 5 = 2(x + 1) (4 * -3 + x * -3) + 5 = 2(x + 1) (-12 + -3x) + 5 = 2(x + 1) Reorder the terms: -12 + 5 + -3x = 2(x + 1) Combine like terms: -12 + 5 = -7 -7 + -3x = 2(x + 1) Reorder the terms: -7 + -3x = 2(1 + x) -7 + -3x = (1 * 2 + x * 2) -7 + -3x = (2 + 2x) Solving -7 + -3x = 2 + 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. -7 + -3x + -2x = 2 + 2x + -2x Combine like terms: -3x + -2x = -5x -7 + -5x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + -5x = 2 + 0 -7 + -5x = 2 Add '7' to each side of the equation. -7 + 7 + -5x = 2 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = 2 + 7 -5x = 2 + 7 Combine like terms: 2 + 7 = 9 -5x = 9 Divide each side by '-5'. x = -1.8 Simplifying x = -1.8
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