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Simplifying 6(x + -4) = -3 + -1(2x + -3) Reorder the terms: 6(-4 + x) = -3 + -1(2x + -3) (-4 * 6 + x * 6) = -3 + -1(2x + -3) (-24 + 6x) = -3 + -1(2x + -3) Reorder the terms: -24 + 6x = -3 + -1(-3 + 2x) -24 + 6x = -3 + (-3 * -1 + 2x * -1) -24 + 6x = -3 + (3 + -2x) Combine like terms: -3 + 3 = 0 -24 + 6x = 0 + -2x -24 + 6x = -2x Solving -24 + 6x = -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 = -2x + 2x Combine like terms: 6x + 2x = 8x -24 + 8x = -2x + 2x Combine like terms: -2x + 2x = 0 -24 + 8x = 0 Add '24' to each side of the equation. -24 + 24 + 8x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 8x = 0 + 24 8x = 0 + 24 Combine like terms: 0 + 24 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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