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Simplifying 10 = 2(9x + -6) + 2(5x + -3) Reorder the terms: 10 = 2(-6 + 9x) + 2(5x + -3) 10 = (-6 * 2 + 9x * 2) + 2(5x + -3) 10 = (-12 + 18x) + 2(5x + -3) Reorder the terms: 10 = -12 + 18x + 2(-3 + 5x) 10 = -12 + 18x + (-3 * 2 + 5x * 2) 10 = -12 + 18x + (-6 + 10x) Reorder the terms: 10 = -12 + -6 + 18x + 10x Combine like terms: -12 + -6 = -18 10 = -18 + 18x + 10x Combine like terms: 18x + 10x = 28x 10 = -18 + 28x Solving 10 = -18 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 10 + -28x = -18 + 28x + -28x Combine like terms: 28x + -28x = 0 10 + -28x = -18 + 0 10 + -28x = -18 Add '-10' to each side of the equation. 10 + -10 + -28x = -18 + -10 Combine like terms: 10 + -10 = 0 0 + -28x = -18 + -10 -28x = -18 + -10 Combine like terms: -18 + -10 = -28 -28x = -28 Divide each side by '-28'. x = 1 Simplifying x = 1
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