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Simplifying 3(x + -2) + -4(x + -3) = 6x + -6(x + -3) Reorder the terms: 3(-2 + x) + -4(x + -3) = 6x + -6(x + -3) (-2 * 3 + x * 3) + -4(x + -3) = 6x + -6(x + -3) (-6 + 3x) + -4(x + -3) = 6x + -6(x + -3) Reorder the terms: -6 + 3x + -4(-3 + x) = 6x + -6(x + -3) -6 + 3x + (-3 * -4 + x * -4) = 6x + -6(x + -3) -6 + 3x + (12 + -4x) = 6x + -6(x + -3) Reorder the terms: -6 + 12 + 3x + -4x = 6x + -6(x + -3) Combine like terms: -6 + 12 = 6 6 + 3x + -4x = 6x + -6(x + -3) Combine like terms: 3x + -4x = -1x 6 + -1x = 6x + -6(x + -3) Reorder the terms: 6 + -1x = 6x + -6(-3 + x) 6 + -1x = 6x + (-3 * -6 + x * -6) 6 + -1x = 6x + (18 + -6x) Reorder the terms: 6 + -1x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -1x = 18 + 0 6 + -1x = 18 Solving 6 + -1x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 18 + -6 -1x = 18 + -6 Combine like terms: 18 + -6 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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