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Simplifying 5(3 + x) = 5(3x + -1) + -50 (3 * 5 + x * 5) = 5(3x + -1) + -50 (15 + 5x) = 5(3x + -1) + -50 Reorder the terms: 15 + 5x = 5(-1 + 3x) + -50 15 + 5x = (-1 * 5 + 3x * 5) + -50 15 + 5x = (-5 + 15x) + -50 Reorder the terms: 15 + 5x = -5 + -50 + 15x Combine like terms: -5 + -50 = -55 15 + 5x = -55 + 15x Solving 15 + 5x = -55 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 15 + 5x + -15x = -55 + 15x + -15x Combine like terms: 5x + -15x = -10x 15 + -10x = -55 + 15x + -15x Combine like terms: 15x + -15x = 0 15 + -10x = -55 + 0 15 + -10x = -55 Add '-15' to each side of the equation. 15 + -15 + -10x = -55 + -15 Combine like terms: 15 + -15 = 0 0 + -10x = -55 + -15 -10x = -55 + -15 Combine like terms: -55 + -15 = -70 -10x = -70 Divide each side by '-10'. x = 7 Simplifying x = 7
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