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Simplifying x + 2x + 3(x + 4) = 5x + -6 Reorder the terms: x + 2x + 3(4 + x) = 5x + -6 x + 2x + (4 * 3 + x * 3) = 5x + -6 x + 2x + (12 + 3x) = 5x + -6 Reorder the terms: 12 + x + 2x + 3x = 5x + -6 Combine like terms: x + 2x = 3x 12 + 3x + 3x = 5x + -6 Combine like terms: 3x + 3x = 6x 12 + 6x = 5x + -6 Reorder the terms: 12 + 6x = -6 + 5x Solving 12 + 6x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 6x + -5x = -6 + 5x + -5x Combine like terms: 6x + -5x = 1x 12 + 1x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 1x = -6 + 0 12 + 1x = -6 Add '-12' to each side of the equation. 12 + -12 + 1x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = -6 + -12 1x = -6 + -12 Combine like terms: -6 + -12 = -18 1x = -18 Divide each side by '1'. x = -18 Simplifying x = -18
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