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Simplifying -3(x + 1) + 2(2x + 1) = 5(x + 1) Reorder the terms: -3(1 + x) + 2(2x + 1) = 5(x + 1) (1 * -3 + x * -3) + 2(2x + 1) = 5(x + 1) (-3 + -3x) + 2(2x + 1) = 5(x + 1) Reorder the terms: -3 + -3x + 2(1 + 2x) = 5(x + 1) -3 + -3x + (1 * 2 + 2x * 2) = 5(x + 1) -3 + -3x + (2 + 4x) = 5(x + 1) Reorder the terms: -3 + 2 + -3x + 4x = 5(x + 1) Combine like terms: -3 + 2 = -1 -1 + -3x + 4x = 5(x + 1) Combine like terms: -3x + 4x = 1x -1 + 1x = 5(x + 1) Reorder the terms: -1 + 1x = 5(1 + x) -1 + 1x = (1 * 5 + x * 5) -1 + 1x = (5 + 5x) Solving -1 + 1x = 5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -1 + 1x + -5x = 5 + 5x + -5x Combine like terms: 1x + -5x = -4x -1 + -4x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -4x = 5 + 0 -1 + -4x = 5 Add '1' to each side of the equation. -1 + 1 + -4x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 5 + 1 -4x = 5 + 1 Combine like terms: 5 + 1 = 6 -4x = 6 Divide each side by '-4'. x = -1.5 Simplifying x = -1.5
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