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Simplifying 10x + -4x + 18 = 2(4x + 7) Reorder the terms: 18 + 10x + -4x = 2(4x + 7) Combine like terms: 10x + -4x = 6x 18 + 6x = 2(4x + 7) Reorder the terms: 18 + 6x = 2(7 + 4x) 18 + 6x = (7 * 2 + 4x * 2) 18 + 6x = (14 + 8x) Solving 18 + 6x = 14 + 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. 18 + 6x + -8x = 14 + 8x + -8x Combine like terms: 6x + -8x = -2x 18 + -2x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 18 + -2x = 14 + 0 18 + -2x = 14 Add '-18' to each side of the equation. 18 + -18 + -2x = 14 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = 14 + -18 -2x = 14 + -18 Combine like terms: 14 + -18 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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