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Simplifying 6x + -4(x + -3) = 3(x + 3) Reorder the terms: 6x + -4(-3 + x) = 3(x + 3) 6x + (-3 * -4 + x * -4) = 3(x + 3) 6x + (12 + -4x) = 3(x + 3) Reorder the terms: 12 + 6x + -4x = 3(x + 3) Combine like terms: 6x + -4x = 2x 12 + 2x = 3(x + 3) Reorder the terms: 12 + 2x = 3(3 + x) 12 + 2x = (3 * 3 + x * 3) 12 + 2x = (9 + 3x) Solving 12 + 2x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + 2x + -3x = 9 + 3x + -3x Combine like terms: 2x + -3x = -1x 12 + -1x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -1x = 9 + 0 12 + -1x = 9 Add '-12' to each side of the equation. 12 + -12 + -1x = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 9 + -12 -1x = 9 + -12 Combine like terms: 9 + -12 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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