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Simplifying -18 + 2x = 5x + 6(-6x + 8) Reorder the terms: -18 + 2x = 5x + 6(8 + -6x) -18 + 2x = 5x + (8 * 6 + -6x * 6) -18 + 2x = 5x + (48 + -36x) Reorder the terms: -18 + 2x = 48 + 5x + -36x Combine like terms: 5x + -36x = -31x -18 + 2x = 48 + -31x Solving -18 + 2x = 48 + -31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31x' to each side of the equation. -18 + 2x + 31x = 48 + -31x + 31x Combine like terms: 2x + 31x = 33x -18 + 33x = 48 + -31x + 31x Combine like terms: -31x + 31x = 0 -18 + 33x = 48 + 0 -18 + 33x = 48 Add '18' to each side of the equation. -18 + 18 + 33x = 48 + 18 Combine like terms: -18 + 18 = 0 0 + 33x = 48 + 18 33x = 48 + 18 Combine like terms: 48 + 18 = 66 33x = 66 Divide each side by '33'. x = 2 Simplifying x = 2
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