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Simplifying 10(2x + 2) + -1x = 2(8x + -8) Reorder the terms: 10(2 + 2x) + -1x = 2(8x + -8) (2 * 10 + 2x * 10) + -1x = 2(8x + -8) (20 + 20x) + -1x = 2(8x + -8) Combine like terms: 20x + -1x = 19x 20 + 19x = 2(8x + -8) Reorder the terms: 20 + 19x = 2(-8 + 8x) 20 + 19x = (-8 * 2 + 8x * 2) 20 + 19x = (-16 + 16x) Solving 20 + 19x = -16 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 20 + 19x + -16x = -16 + 16x + -16x Combine like terms: 19x + -16x = 3x 20 + 3x = -16 + 16x + -16x Combine like terms: 16x + -16x = 0 20 + 3x = -16 + 0 20 + 3x = -16 Add '-20' to each side of the equation. 20 + -20 + 3x = -16 + -20 Combine like terms: 20 + -20 = 0 0 + 3x = -16 + -20 3x = -16 + -20 Combine like terms: -16 + -20 = -36 3x = -36 Divide each side by '3'. x = -12 Simplifying x = -12
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