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Simplifying 2(x + 8) = -3(6x + -4) + 2x Reorder the terms: 2(8 + x) = -3(6x + -4) + 2x (8 * 2 + x * 2) = -3(6x + -4) + 2x (16 + 2x) = -3(6x + -4) + 2x Reorder the terms: 16 + 2x = -3(-4 + 6x) + 2x 16 + 2x = (-4 * -3 + 6x * -3) + 2x 16 + 2x = (12 + -18x) + 2x Combine like terms: -18x + 2x = -16x 16 + 2x = 12 + -16x Solving 16 + 2x = 12 + -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. 16 + 2x + 16x = 12 + -16x + 16x Combine like terms: 2x + 16x = 18x 16 + 18x = 12 + -16x + 16x Combine like terms: -16x + 16x = 0 16 + 18x = 12 + 0 16 + 18x = 12 Add '-16' to each side of the equation. 16 + -16 + 18x = 12 + -16 Combine like terms: 16 + -16 = 0 0 + 18x = 12 + -16 18x = 12 + -16 Combine like terms: 12 + -16 = -4 18x = -4 Divide each side by '18'. x = -0.2222222222 Simplifying x = -0.2222222222
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