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Simplifying -4(x + -3) + 6 = 3(x + -1) Reorder the terms: -4(-3 + x) + 6 = 3(x + -1) (-3 * -4 + x * -4) + 6 = 3(x + -1) (12 + -4x) + 6 = 3(x + -1) Reorder the terms: 12 + 6 + -4x = 3(x + -1) Combine like terms: 12 + 6 = 18 18 + -4x = 3(x + -1) Reorder the terms: 18 + -4x = 3(-1 + x) 18 + -4x = (-1 * 3 + x * 3) 18 + -4x = (-3 + 3x) Solving 18 + -4x = -3 + 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. 18 + -4x + -3x = -3 + 3x + -3x Combine like terms: -4x + -3x = -7x 18 + -7x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + -7x = -3 + 0 18 + -7x = -3 Add '-18' to each side of the equation. 18 + -18 + -7x = -3 + -18 Combine like terms: 18 + -18 = 0 0 + -7x = -3 + -18 -7x = -3 + -18 Combine like terms: -3 + -18 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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