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Simplifying -6(2x + -3) + 2x = 5x + -6 Reorder the terms: -6(-3 + 2x) + 2x = 5x + -6 (-3 * -6 + 2x * -6) + 2x = 5x + -6 (18 + -12x) + 2x = 5x + -6 Combine like terms: -12x + 2x = -10x 18 + -10x = 5x + -6 Reorder the terms: 18 + -10x = -6 + 5x Solving 18 + -10x = -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. 18 + -10x + -5x = -6 + 5x + -5x Combine like terms: -10x + -5x = -15x 18 + -15x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + -15x = -6 + 0 18 + -15x = -6 Add '-18' to each side of the equation. 18 + -18 + -15x = -6 + -18 Combine like terms: 18 + -18 = 0 0 + -15x = -6 + -18 -15x = -6 + -18 Combine like terms: -6 + -18 = -24 -15x = -24 Divide each side by '-15'. x = 1.6 Simplifying x = 1.6
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