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