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