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Simplifying 2x + 6 = 5x + -18 + 3(x + 4) Reorder the terms: 6 + 2x = 5x + -18 + 3(x + 4) Reorder the terms: 6 + 2x = 5x + -18 + 3(4 + x) 6 + 2x = 5x + -18 + (4 * 3 + x * 3) 6 + 2x = 5x + -18 + (12 + 3x) Reorder the terms: 6 + 2x = -18 + 12 + 5x + 3x Combine like terms: -18 + 12 = -6 6 + 2x = -6 + 5x + 3x Combine like terms: 5x + 3x = 8x 6 + 2x = -6 + 8x Solving 6 + 2x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + 2x + -8x = -6 + 8x + -8x Combine like terms: 2x + -8x = -6x 6 + -6x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -6x = -6 + 0 6 + -6x = -6 Add '-6' to each side of the equation. 6 + -6 + -6x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = -6 + -6 -6x = -6 + -6 Combine like terms: -6 + -6 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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