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Simplifying -4(3x + -3) + 2x + 6 = 36 + -4x Reorder the terms: -4(-3 + 3x) + 2x + 6 = 36 + -4x (-3 * -4 + 3x * -4) + 2x + 6 = 36 + -4x (12 + -12x) + 2x + 6 = 36 + -4x Reorder the terms: 12 + 6 + -12x + 2x = 36 + -4x Combine like terms: 12 + 6 = 18 18 + -12x + 2x = 36 + -4x Combine like terms: -12x + 2x = -10x 18 + -10x = 36 + -4x Solving 18 + -10x = 36 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 18 + -10x + 4x = 36 + -4x + 4x Combine like terms: -10x + 4x = -6x 18 + -6x = 36 + -4x + 4x Combine like terms: -4x + 4x = 0 18 + -6x = 36 + 0 18 + -6x = 36 Add '-18' to each side of the equation. 18 + -18 + -6x = 36 + -18 Combine like terms: 18 + -18 = 0 0 + -6x = 36 + -18 -6x = 36 + -18 Combine like terms: 36 + -18 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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