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Simplifying 4(x + 5) + 10(x + 4) = -3(x + -2) Reorder the terms: 4(5 + x) + 10(x + 4) = -3(x + -2) (5 * 4 + x * 4) + 10(x + 4) = -3(x + -2) (20 + 4x) + 10(x + 4) = -3(x + -2) Reorder the terms: 20 + 4x + 10(4 + x) = -3(x + -2) 20 + 4x + (4 * 10 + x * 10) = -3(x + -2) 20 + 4x + (40 + 10x) = -3(x + -2) Reorder the terms: 20 + 40 + 4x + 10x = -3(x + -2) Combine like terms: 20 + 40 = 60 60 + 4x + 10x = -3(x + -2) Combine like terms: 4x + 10x = 14x 60 + 14x = -3(x + -2) Reorder the terms: 60 + 14x = -3(-2 + x) 60 + 14x = (-2 * -3 + x * -3) 60 + 14x = (6 + -3x) Solving 60 + 14x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 60 + 14x + 3x = 6 + -3x + 3x Combine like terms: 14x + 3x = 17x 60 + 17x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 60 + 17x = 6 + 0 60 + 17x = 6 Add '-60' to each side of the equation. 60 + -60 + 17x = 6 + -60 Combine like terms: 60 + -60 = 0 0 + 17x = 6 + -60 17x = 6 + -60 Combine like terms: 6 + -60 = -54 17x = -54 Divide each side by '17'. x = -3.176470588 Simplifying x = -3.176470588
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