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Simplifying -4x + 6 = -3(x + 3) Reorder the terms: 6 + -4x = -3(x + 3) Reorder the terms: 6 + -4x = -3(3 + x) 6 + -4x = (3 * -3 + x * -3) 6 + -4x = (-9 + -3x) Solving 6 + -4x = -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. 6 + -4x + 3x = -9 + -3x + 3x Combine like terms: -4x + 3x = -1x 6 + -1x = -9 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + -1x = -9 + 0 6 + -1x = -9 Add '-6' to each side of the equation. 6 + -6 + -1x = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -9 + -6 -1x = -9 + -6 Combine like terms: -9 + -6 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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