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Simplifying 5 + 2(x + 4) = 5(x + -3) + 10 Reorder the terms: 5 + 2(4 + x) = 5(x + -3) + 10 5 + (4 * 2 + x * 2) = 5(x + -3) + 10 5 + (8 + 2x) = 5(x + -3) + 10 Combine like terms: 5 + 8 = 13 13 + 2x = 5(x + -3) + 10 Reorder the terms: 13 + 2x = 5(-3 + x) + 10 13 + 2x = (-3 * 5 + x * 5) + 10 13 + 2x = (-15 + 5x) + 10 Reorder the terms: 13 + 2x = -15 + 10 + 5x Combine like terms: -15 + 10 = -5 13 + 2x = -5 + 5x Solving 13 + 2x = -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. 13 + 2x + -5x = -5 + 5x + -5x Combine like terms: 2x + -5x = -3x 13 + -3x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 13 + -3x = -5 + 0 13 + -3x = -5 Add '-13' to each side of the equation. 13 + -13 + -3x = -5 + -13 Combine like terms: 13 + -13 = 0 0 + -3x = -5 + -13 -3x = -5 + -13 Combine like terms: -5 + -13 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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