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Simplifying 10(x + 3) + -4(x + 1) = 5(x + 4) Reorder the terms: 10(3 + x) + -4(x + 1) = 5(x + 4) (3 * 10 + x * 10) + -4(x + 1) = 5(x + 4) (30 + 10x) + -4(x + 1) = 5(x + 4) Reorder the terms: 30 + 10x + -4(1 + x) = 5(x + 4) 30 + 10x + (1 * -4 + x * -4) = 5(x + 4) 30 + 10x + (-4 + -4x) = 5(x + 4) Reorder the terms: 30 + -4 + 10x + -4x = 5(x + 4) Combine like terms: 30 + -4 = 26 26 + 10x + -4x = 5(x + 4) Combine like terms: 10x + -4x = 6x 26 + 6x = 5(x + 4) Reorder the terms: 26 + 6x = 5(4 + x) 26 + 6x = (4 * 5 + x * 5) 26 + 6x = (20 + 5x) Solving 26 + 6x = 20 + 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. 26 + 6x + -5x = 20 + 5x + -5x Combine like terms: 6x + -5x = 1x 26 + 1x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 26 + 1x = 20 + 0 26 + 1x = 20 Add '-26' to each side of the equation. 26 + -26 + 1x = 20 + -26 Combine like terms: 26 + -26 = 0 0 + 1x = 20 + -26 1x = 20 + -26 Combine like terms: 20 + -26 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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