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Simplifying 8(x + 2) + -6x = 2x + 2(2x + -1) + 6x + -12 Reorder the terms: 8(2 + x) + -6x = 2x + 2(2x + -1) + 6x + -12 (2 * 8 + x * 8) + -6x = 2x + 2(2x + -1) + 6x + -12 (16 + 8x) + -6x = 2x + 2(2x + -1) + 6x + -12 Combine like terms: 8x + -6x = 2x 16 + 2x = 2x + 2(2x + -1) + 6x + -12 Reorder the terms: 16 + 2x = 2x + 2(-1 + 2x) + 6x + -12 16 + 2x = 2x + (-1 * 2 + 2x * 2) + 6x + -12 16 + 2x = 2x + (-2 + 4x) + 6x + -12 Reorder the terms: 16 + 2x = -2 + -12 + 2x + 4x + 6x Combine like terms: -2 + -12 = -14 16 + 2x = -14 + 2x + 4x + 6x Combine like terms: 2x + 4x = 6x 16 + 2x = -14 + 6x + 6x Combine like terms: 6x + 6x = 12x 16 + 2x = -14 + 12x Solving 16 + 2x = -14 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 16 + 2x + -12x = -14 + 12x + -12x Combine like terms: 2x + -12x = -10x 16 + -10x = -14 + 12x + -12x Combine like terms: 12x + -12x = 0 16 + -10x = -14 + 0 16 + -10x = -14 Add '-16' to each side of the equation. 16 + -16 + -10x = -14 + -16 Combine like terms: 16 + -16 = 0 0 + -10x = -14 + -16 -10x = -14 + -16 Combine like terms: -14 + -16 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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