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Simplifying 4x + -1(x + 5) + 12 = 14 + 2x Reorder the terms: 4x + -1(5 + x) + 12 = 14 + 2x 4x + (5 * -1 + x * -1) + 12 = 14 + 2x 4x + (-5 + -1x) + 12 = 14 + 2x Reorder the terms: -5 + 12 + 4x + -1x = 14 + 2x Combine like terms: -5 + 12 = 7 7 + 4x + -1x = 14 + 2x Combine like terms: 4x + -1x = 3x 7 + 3x = 14 + 2x Solving 7 + 3x = 14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + 3x + -2x = 14 + 2x + -2x Combine like terms: 3x + -2x = 1x 7 + 1x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 1x = 14 + 0 7 + 1x = 14 Add '-7' to each side of the equation. 7 + -7 + 1x = 14 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 14 + -7 1x = 14 + -7 Combine like terms: 14 + -7 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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