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Simplifying -9x + 12 + 4(3x + -3) = 6(x + -2) + -4x + 14 Reorder the terms: -9x + 12 + 4(-3 + 3x) = 6(x + -2) + -4x + 14 -9x + 12 + (-3 * 4 + 3x * 4) = 6(x + -2) + -4x + 14 -9x + 12 + (-12 + 12x) = 6(x + -2) + -4x + 14 Reorder the terms: 12 + -12 + -9x + 12x = 6(x + -2) + -4x + 14 Combine like terms: 12 + -12 = 0 0 + -9x + 12x = 6(x + -2) + -4x + 14 -9x + 12x = 6(x + -2) + -4x + 14 Combine like terms: -9x + 12x = 3x 3x = 6(x + -2) + -4x + 14 Reorder the terms: 3x = 6(-2 + x) + -4x + 14 3x = (-2 * 6 + x * 6) + -4x + 14 3x = (-12 + 6x) + -4x + 14 Reorder the terms: 3x = -12 + 14 + 6x + -4x Combine like terms: -12 + 14 = 2 3x = 2 + 6x + -4x Combine like terms: 6x + -4x = 2x 3x = 2 + 2x Solving 3x = 2 + 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. 3x + -2x = 2 + 2x + -2x Combine like terms: 3x + -2x = 1x 1x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 1x = 2 + 0 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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