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Simplifying -5x + 10 = 2 + -1(x + 4) Reorder the terms: 10 + -5x = 2 + -1(x + 4) Reorder the terms: 10 + -5x = 2 + -1(4 + x) 10 + -5x = 2 + (4 * -1 + x * -1) 10 + -5x = 2 + (-4 + -1x) Combine like terms: 2 + -4 = -2 10 + -5x = -2 + -1x Solving 10 + -5x = -2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 10 + -5x + x = -2 + -1x + x Combine like terms: -5x + x = -4x 10 + -4x = -2 + -1x + x Combine like terms: -1x + x = 0 10 + -4x = -2 + 0 10 + -4x = -2 Add '-10' to each side of the equation. 10 + -10 + -4x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = -2 + -10 -4x = -2 + -10 Combine like terms: -2 + -10 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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