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Simplifying x + 3 = 2(5x + -6) Reorder the terms: 3 + x = 2(5x + -6) Reorder the terms: 3 + x = 2(-6 + 5x) 3 + x = (-6 * 2 + 5x * 2) 3 + x = (-12 + 10x) Solving 3 + x = -12 + 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. 3 + x + -10x = -12 + 10x + -10x Combine like terms: x + -10x = -9x 3 + -9x = -12 + 10x + -10x Combine like terms: 10x + -10x = 0 3 + -9x = -12 + 0 3 + -9x = -12 Add '-3' to each side of the equation. 3 + -3 + -9x = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -9x = -12 + -3 -9x = -12 + -3 Combine like terms: -12 + -3 = -15 -9x = -15 Divide each side by '-9'. x = 1.666666667 Simplifying x = 1.666666667
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