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Simplifying 3(x + -2) + 12 = 54 + -1x Reorder the terms: 3(-2 + x) + 12 = 54 + -1x (-2 * 3 + x * 3) + 12 = 54 + -1x (-6 + 3x) + 12 = 54 + -1x Reorder the terms: -6 + 12 + 3x = 54 + -1x Combine like terms: -6 + 12 = 6 6 + 3x = 54 + -1x Solving 6 + 3x = 54 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 6 + 3x + x = 54 + -1x + x Combine like terms: 3x + x = 4x 6 + 4x = 54 + -1x + x Combine like terms: -1x + x = 0 6 + 4x = 54 + 0 6 + 4x = 54 Add '-6' to each side of the equation. 6 + -6 + 4x = 54 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 54 + -6 4x = 54 + -6 Combine like terms: 54 + -6 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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