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Simplifying 4x + 12 = 6(x + 1) + -5x Reorder the terms: 12 + 4x = 6(x + 1) + -5x Reorder the terms: 12 + 4x = 6(1 + x) + -5x 12 + 4x = (1 * 6 + x * 6) + -5x 12 + 4x = (6 + 6x) + -5x Combine like terms: 6x + -5x = 1x 12 + 4x = 6 + 1x Solving 12 + 4x = 6 + 1x 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. 12 + 4x + -1x = 6 + 1x + -1x Combine like terms: 4x + -1x = 3x 12 + 3x = 6 + 1x + -1x Combine like terms: 1x + -1x = 0 12 + 3x = 6 + 0 12 + 3x = 6 Add '-12' to each side of the equation. 12 + -12 + 3x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 6 + -12 3x = 6 + -12 Combine like terms: 6 + -12 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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