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