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Simplifying 14 + -3(x + 3) = 5 + -2(x + 1) Reorder the terms: 14 + -3(3 + x) = 5 + -2(x + 1) 14 + (3 * -3 + x * -3) = 5 + -2(x + 1) 14 + (-9 + -3x) = 5 + -2(x + 1) Combine like terms: 14 + -9 = 5 5 + -3x = 5 + -2(x + 1) Reorder the terms: 5 + -3x = 5 + -2(1 + x) 5 + -3x = 5 + (1 * -2 + x * -2) 5 + -3x = 5 + (-2 + -2x) Combine like terms: 5 + -2 = 3 5 + -3x = 3 + -2x Solving 5 + -3x = 3 + -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. 5 + -3x + 2x = 3 + -2x + 2x Combine like terms: -3x + 2x = -1x 5 + -1x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + -1x = 3 + 0 5 + -1x = 3 Add '-5' to each side of the equation. 5 + -5 + -1x = 3 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 3 + -5 -1x = 3 + -5 Combine like terms: 3 + -5 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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