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Simplifying 6x + -18 = -6x + 2(8x + 5) Reorder the terms: -18 + 6x = -6x + 2(8x + 5) Reorder the terms: -18 + 6x = -6x + 2(5 + 8x) -18 + 6x = -6x + (5 * 2 + 8x * 2) -18 + 6x = -6x + (10 + 16x) Reorder the terms: -18 + 6x = 10 + -6x + 16x Combine like terms: -6x + 16x = 10x -18 + 6x = 10 + 10x Solving -18 + 6x = 10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -18 + 6x + -10x = 10 + 10x + -10x Combine like terms: 6x + -10x = -4x -18 + -4x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 -18 + -4x = 10 + 0 -18 + -4x = 10 Add '18' to each side of the equation. -18 + 18 + -4x = 10 + 18 Combine like terms: -18 + 18 = 0 0 + -4x = 10 + 18 -4x = 10 + 18 Combine like terms: 10 + 18 = 28 -4x = 28 Divide each side by '-4'. x = -7 Simplifying x = -7
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