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Simplifying 5(3x + 4) = 17 + -2(5x + 6) Reorder the terms: 5(4 + 3x) = 17 + -2(5x + 6) (4 * 5 + 3x * 5) = 17 + -2(5x + 6) (20 + 15x) = 17 + -2(5x + 6) Reorder the terms: 20 + 15x = 17 + -2(6 + 5x) 20 + 15x = 17 + (6 * -2 + 5x * -2) 20 + 15x = 17 + (-12 + -10x) Combine like terms: 17 + -12 = 5 20 + 15x = 5 + -10x Solving 20 + 15x = 5 + -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. 20 + 15x + 10x = 5 + -10x + 10x Combine like terms: 15x + 10x = 25x 20 + 25x = 5 + -10x + 10x Combine like terms: -10x + 10x = 0 20 + 25x = 5 + 0 20 + 25x = 5 Add '-20' to each side of the equation. 20 + -20 + 25x = 5 + -20 Combine like terms: 20 + -20 = 0 0 + 25x = 5 + -20 25x = 5 + -20 Combine like terms: 5 + -20 = -15 25x = -15 Divide each side by '25'. x = -0.6 Simplifying x = -0.6
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