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Simplifying -7(2x + 4) + -10x = 2(x + -1) Reorder the terms: -7(4 + 2x) + -10x = 2(x + -1) (4 * -7 + 2x * -7) + -10x = 2(x + -1) (-28 + -14x) + -10x = 2(x + -1) Combine like terms: -14x + -10x = -24x -28 + -24x = 2(x + -1) Reorder the terms: -28 + -24x = 2(-1 + x) -28 + -24x = (-1 * 2 + x * 2) -28 + -24x = (-2 + 2x) Solving -28 + -24x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -28 + -24x + -2x = -2 + 2x + -2x Combine like terms: -24x + -2x = -26x -28 + -26x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -28 + -26x = -2 + 0 -28 + -26x = -2 Add '28' to each side of the equation. -28 + 28 + -26x = -2 + 28 Combine like terms: -28 + 28 = 0 0 + -26x = -2 + 28 -26x = -2 + 28 Combine like terms: -2 + 28 = 26 -26x = 26 Divide each side by '-26'. x = -1 Simplifying x = -1
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