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Simplifying 2x + 5(x + 3) = -1(x + -3) + 5x Reorder the terms: 2x + 5(3 + x) = -1(x + -3) + 5x 2x + (3 * 5 + x * 5) = -1(x + -3) + 5x 2x + (15 + 5x) = -1(x + -3) + 5x Reorder the terms: 15 + 2x + 5x = -1(x + -3) + 5x Combine like terms: 2x + 5x = 7x 15 + 7x = -1(x + -3) + 5x Reorder the terms: 15 + 7x = -1(-3 + x) + 5x 15 + 7x = (-3 * -1 + x * -1) + 5x 15 + 7x = (3 + -1x) + 5x Combine like terms: -1x + 5x = 4x 15 + 7x = 3 + 4x Solving 15 + 7x = 3 + 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 + 7x + -4x = 3 + 4x + -4x Combine like terms: 7x + -4x = 3x 15 + 3x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + 3x = 3 + 0 15 + 3x = 3 Add '-15' to each side of the equation. 15 + -15 + 3x = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 3 + -15 3x = 3 + -15 Combine like terms: 3 + -15 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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