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Simplifying 5(4 + x) = 5(3x + -2) + -40 (4 * 5 + x * 5) = 5(3x + -2) + -40 (20 + 5x) = 5(3x + -2) + -40 Reorder the terms: 20 + 5x = 5(-2 + 3x) + -40 20 + 5x = (-2 * 5 + 3x * 5) + -40 20 + 5x = (-10 + 15x) + -40 Reorder the terms: 20 + 5x = -10 + -40 + 15x Combine like terms: -10 + -40 = -50 20 + 5x = -50 + 15x Solving 20 + 5x = -50 + 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. 20 + 5x + -15x = -50 + 15x + -15x Combine like terms: 5x + -15x = -10x 20 + -10x = -50 + 15x + -15x Combine like terms: 15x + -15x = 0 20 + -10x = -50 + 0 20 + -10x = -50 Add '-20' to each side of the equation. 20 + -20 + -10x = -50 + -20 Combine like terms: 20 + -20 = 0 0 + -10x = -50 + -20 -10x = -50 + -20 Combine like terms: -50 + -20 = -70 -10x = -70 Divide each side by '-10'. x = 7 Simplifying x = 7
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