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Simplifying 3(2x + -3) = -1 + 2(x + -4) Reorder the terms: 3(-3 + 2x) = -1 + 2(x + -4) (-3 * 3 + 2x * 3) = -1 + 2(x + -4) (-9 + 6x) = -1 + 2(x + -4) Reorder the terms: -9 + 6x = -1 + 2(-4 + x) -9 + 6x = -1 + (-4 * 2 + x * 2) -9 + 6x = -1 + (-8 + 2x) Combine like terms: -1 + -8 = -9 -9 + 6x = -9 + 2x Add '9' to each side of the equation. -9 + 9 + 6x = -9 + 9 + 2x Combine like terms: -9 + 9 = 0 0 + 6x = -9 + 9 + 2x 6x = -9 + 9 + 2x Combine like terms: -9 + 9 = 0 6x = 0 + 2x 6x = 2x Solving 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. 6x + -2x = 2x + -2x Combine like terms: 6x + -2x = 4x 4x = 2x + -2x Combine like terms: 2x + -2x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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