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Simplifying -4(2x + 4) + 2x = 2(x + -1) + 10 Reorder the terms: -4(4 + 2x) + 2x = 2(x + -1) + 10 (4 * -4 + 2x * -4) + 2x = 2(x + -1) + 10 (-16 + -8x) + 2x = 2(x + -1) + 10 Combine like terms: -8x + 2x = -6x -16 + -6x = 2(x + -1) + 10 Reorder the terms: -16 + -6x = 2(-1 + x) + 10 -16 + -6x = (-1 * 2 + x * 2) + 10 -16 + -6x = (-2 + 2x) + 10 Reorder the terms: -16 + -6x = -2 + 10 + 2x Combine like terms: -2 + 10 = 8 -16 + -6x = 8 + 2x Solving -16 + -6x = 8 + 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. -16 + -6x + -2x = 8 + 2x + -2x Combine like terms: -6x + -2x = -8x -16 + -8x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + -8x = 8 + 0 -16 + -8x = 8 Add '16' to each side of the equation. -16 + 16 + -8x = 8 + 16 Combine like terms: -16 + 16 = 0 0 + -8x = 8 + 16 -8x = 8 + 16 Combine like terms: 8 + 16 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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