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Simplifying 9x + 6 = 2(5x + -2) Reorder the terms: 6 + 9x = 2(5x + -2) Reorder the terms: 6 + 9x = 2(-2 + 5x) 6 + 9x = (-2 * 2 + 5x * 2) 6 + 9x = (-4 + 10x) Solving 6 + 9x = -4 + 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. 6 + 9x + -10x = -4 + 10x + -10x Combine like terms: 9x + -10x = -1x 6 + -1x = -4 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + -1x = -4 + 0 6 + -1x = -4 Add '-6' to each side of the equation. 6 + -6 + -1x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -4 + -6 -1x = -4 + -6 Combine like terms: -4 + -6 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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