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Simplifying -5(x + -3) + -5(4 + -2x) = 4(x + 1) + -10 Reorder the terms: -5(-3 + x) + -5(4 + -2x) = 4(x + 1) + -10 (-3 * -5 + x * -5) + -5(4 + -2x) = 4(x + 1) + -10 (15 + -5x) + -5(4 + -2x) = 4(x + 1) + -10 15 + -5x + (4 * -5 + -2x * -5) = 4(x + 1) + -10 15 + -5x + (-20 + 10x) = 4(x + 1) + -10 Reorder the terms: 15 + -20 + -5x + 10x = 4(x + 1) + -10 Combine like terms: 15 + -20 = -5 -5 + -5x + 10x = 4(x + 1) + -10 Combine like terms: -5x + 10x = 5x -5 + 5x = 4(x + 1) + -10 Reorder the terms: -5 + 5x = 4(1 + x) + -10 -5 + 5x = (1 * 4 + x * 4) + -10 -5 + 5x = (4 + 4x) + -10 Reorder the terms: -5 + 5x = 4 + -10 + 4x Combine like terms: 4 + -10 = -6 -5 + 5x = -6 + 4x Solving -5 + 5x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + 5x + -4x = -6 + 4x + -4x Combine like terms: 5x + -4x = 1x -5 + 1x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 1x = -6 + 0 -5 + 1x = -6 Add '5' to each side of the equation. -5 + 5 + 1x = -6 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = -6 + 5 1x = -6 + 5 Combine like terms: -6 + 5 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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