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Simplifying 3(x + 5) + -2x = 4x + -8 Reorder the terms: 3(5 + x) + -2x = 4x + -8 (5 * 3 + x * 3) + -2x = 4x + -8 (15 + 3x) + -2x = 4x + -8 Combine like terms: 3x + -2x = 1x 15 + 1x = 4x + -8 Reorder the terms: 15 + 1x = -8 + 4x Solving 15 + 1x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 15 + 1x + -4x = -8 + 4x + -4x Combine like terms: 1x + -4x = -3x 15 + -3x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + -3x = -8 + 0 15 + -3x = -8 Add '-15' to each side of the equation. 15 + -15 + -3x = -8 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = -8 + -15 -3x = -8 + -15 Combine like terms: -8 + -15 = -23 -3x = -23 Divide each side by '-3'. x = 7.666666667 Simplifying x = 7.666666667
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