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Simplifying -3(-6 + 2x) + 1 = 12 + x (-6 * -3 + 2x * -3) + 1 = 12 + x (18 + -6x) + 1 = 12 + x Reorder the terms: 18 + 1 + -6x = 12 + x Combine like terms: 18 + 1 = 19 19 + -6x = 12 + x Solving 19 + -6x = 12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 19 + -6x + -1x = 12 + x + -1x Combine like terms: -6x + -1x = -7x 19 + -7x = 12 + x + -1x Combine like terms: x + -1x = 0 19 + -7x = 12 + 0 19 + -7x = 12 Add '-19' to each side of the equation. 19 + -19 + -7x = 12 + -19 Combine like terms: 19 + -19 = 0 0 + -7x = 12 + -19 -7x = 12 + -19 Combine like terms: 12 + -19 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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