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Simplifying 5(x + 3) = 4(2x + -1) Reorder the terms: 5(3 + x) = 4(2x + -1) (3 * 5 + x * 5) = 4(2x + -1) (15 + 5x) = 4(2x + -1) Reorder the terms: 15 + 5x = 4(-1 + 2x) 15 + 5x = (-1 * 4 + 2x * 4) 15 + 5x = (-4 + 8x) Solving 15 + 5x = -4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 15 + 5x + -8x = -4 + 8x + -8x Combine like terms: 5x + -8x = -3x 15 + -3x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + -3x = -4 + 0 15 + -3x = -4 Add '-15' to each side of the equation. 15 + -15 + -3x = -4 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = -4 + -15 -3x = -4 + -15 Combine like terms: -4 + -15 = -19 -3x = -19 Divide each side by '-3'. x = 6.333333333 Simplifying x = 6.333333333
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