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Simplifying -6x + 10 = -2(4x + 4) Reorder the terms: 10 + -6x = -2(4x + 4) Reorder the terms: 10 + -6x = -2(4 + 4x) 10 + -6x = (4 * -2 + 4x * -2) 10 + -6x = (-8 + -8x) Solving 10 + -6x = -8 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 10 + -6x + 8x = -8 + -8x + 8x Combine like terms: -6x + 8x = 2x 10 + 2x = -8 + -8x + 8x Combine like terms: -8x + 8x = 0 10 + 2x = -8 + 0 10 + 2x = -8 Add '-10' to each side of the equation. 10 + -10 + 2x = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = -8 + -10 2x = -8 + -10 Combine like terms: -8 + -10 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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