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Simplifying (x + 1) * 2 + -3(x + -4) = 5(x + 3) Reorder the terms: (1 + x) * 2 + -3(x + -4) = 5(x + 3) Reorder the terms for easier multiplication: 2(1 + x) + -3(x + -4) = 5(x + 3) (1 * 2 + x * 2) + -3(x + -4) = 5(x + 3) (2 + 2x) + -3(x + -4) = 5(x + 3) Reorder the terms: 2 + 2x + -3(-4 + x) = 5(x + 3) 2 + 2x + (-4 * -3 + x * -3) = 5(x + 3) 2 + 2x + (12 + -3x) = 5(x + 3) Reorder the terms: 2 + 12 + 2x + -3x = 5(x + 3) Combine like terms: 2 + 12 = 14 14 + 2x + -3x = 5(x + 3) Combine like terms: 2x + -3x = -1x 14 + -1x = 5(x + 3) Reorder the terms: 14 + -1x = 5(3 + x) 14 + -1x = (3 * 5 + x * 5) 14 + -1x = (15 + 5x) Solving 14 + -1x = 15 + 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. 14 + -1x + -5x = 15 + 5x + -5x Combine like terms: -1x + -5x = -6x 14 + -6x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + -6x = 15 + 0 14 + -6x = 15 Add '-14' to each side of the equation. 14 + -14 + -6x = 15 + -14 Combine like terms: 14 + -14 = 0 0 + -6x = 15 + -14 -6x = 15 + -14 Combine like terms: 15 + -14 = 1 -6x = 1 Divide each side by '-6'. x = -0.1666666667 Simplifying x = -0.1666666667
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