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Simplifying 6(x + 4) = -2(8x + -3) + 6x Reorder the terms: 6(4 + x) = -2(8x + -3) + 6x (4 * 6 + x * 6) = -2(8x + -3) + 6x (24 + 6x) = -2(8x + -3) + 6x Reorder the terms: 24 + 6x = -2(-3 + 8x) + 6x 24 + 6x = (-3 * -2 + 8x * -2) + 6x 24 + 6x = (6 + -16x) + 6x Combine like terms: -16x + 6x = -10x 24 + 6x = 6 + -10x Solving 24 + 6x = 6 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 24 + 6x + 10x = 6 + -10x + 10x Combine like terms: 6x + 10x = 16x 24 + 16x = 6 + -10x + 10x Combine like terms: -10x + 10x = 0 24 + 16x = 6 + 0 24 + 16x = 6 Add '-24' to each side of the equation. 24 + -24 + 16x = 6 + -24 Combine like terms: 24 + -24 = 0 0 + 16x = 6 + -24 16x = 6 + -24 Combine like terms: 6 + -24 = -18 16x = -18 Divide each side by '16'. x = -1.125 Simplifying x = -1.125
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