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Simplifying 15x + 13 + -8x = 5(2x + -4) Reorder the terms: 13 + 15x + -8x = 5(2x + -4) Combine like terms: 15x + -8x = 7x 13 + 7x = 5(2x + -4) Reorder the terms: 13 + 7x = 5(-4 + 2x) 13 + 7x = (-4 * 5 + 2x * 5) 13 + 7x = (-20 + 10x) Solving 13 + 7x = -20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 13 + 7x + -10x = -20 + 10x + -10x Combine like terms: 7x + -10x = -3x 13 + -3x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 13 + -3x = -20 + 0 13 + -3x = -20 Add '-13' to each side of the equation. 13 + -13 + -3x = -20 + -13 Combine like terms: 13 + -13 = 0 0 + -3x = -20 + -13 -3x = -20 + -13 Combine like terms: -20 + -13 = -33 -3x = -33 Divide each side by '-3'. x = 11 Simplifying x = 11
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