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Simplifying 6(x + -4) = 3 + -2(x + 8) Reorder the terms: 6(-4 + x) = 3 + -2(x + 8) (-4 * 6 + x * 6) = 3 + -2(x + 8) (-24 + 6x) = 3 + -2(x + 8) Reorder the terms: -24 + 6x = 3 + -2(8 + x) -24 + 6x = 3 + (8 * -2 + x * -2) -24 + 6x = 3 + (-16 + -2x) Combine like terms: 3 + -16 = -13 -24 + 6x = -13 + -2x Solving -24 + 6x = -13 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -24 + 6x + 2x = -13 + -2x + 2x Combine like terms: 6x + 2x = 8x -24 + 8x = -13 + -2x + 2x Combine like terms: -2x + 2x = 0 -24 + 8x = -13 + 0 -24 + 8x = -13 Add '24' to each side of the equation. -24 + 24 + 8x = -13 + 24 Combine like terms: -24 + 24 = 0 0 + 8x = -13 + 24 8x = -13 + 24 Combine like terms: -13 + 24 = 11 8x = 11 Divide each side by '8'. x = 1.375 Simplifying x = 1.375
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