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Simplifying 4 + -2(5x + -3) = 5(x + 17) Reorder the terms: 4 + -2(-3 + 5x) = 5(x + 17) 4 + (-3 * -2 + 5x * -2) = 5(x + 17) 4 + (6 + -10x) = 5(x + 17) Combine like terms: 4 + 6 = 10 10 + -10x = 5(x + 17) Reorder the terms: 10 + -10x = 5(17 + x) 10 + -10x = (17 * 5 + x * 5) 10 + -10x = (85 + 5x) Solving 10 + -10x = 85 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10 + -10x + -5x = 85 + 5x + -5x Combine like terms: -10x + -5x = -15x 10 + -15x = 85 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -15x = 85 + 0 10 + -15x = 85 Add '-10' to each side of the equation. 10 + -10 + -15x = 85 + -10 Combine like terms: 10 + -10 = 0 0 + -15x = 85 + -10 -15x = 85 + -10 Combine like terms: 85 + -10 = 75 -15x = 75 Divide each side by '-15'. x = -5 Simplifying x = -5
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