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Simplifying 3(x + -4) + -6 = 2(x + -3) Reorder the terms: 3(-4 + x) + -6 = 2(x + -3) (-4 * 3 + x * 3) + -6 = 2(x + -3) (-12 + 3x) + -6 = 2(x + -3) Reorder the terms: -12 + -6 + 3x = 2(x + -3) Combine like terms: -12 + -6 = -18 -18 + 3x = 2(x + -3) Reorder the terms: -18 + 3x = 2(-3 + x) -18 + 3x = (-3 * 2 + x * 2) -18 + 3x = (-6 + 2x) Solving -18 + 3x = -6 + 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. -18 + 3x + -2x = -6 + 2x + -2x Combine like terms: 3x + -2x = 1x -18 + 1x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 1x = -6 + 0 -18 + 1x = -6 Add '18' to each side of the equation. -18 + 18 + 1x = -6 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = -6 + 18 1x = -6 + 18 Combine like terms: -6 + 18 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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