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Simplifying 5(2 + -3x) + 2 = 3x (2 * 5 + -3x * 5) + 2 = 3x (10 + -15x) + 2 = 3x Reorder the terms: 10 + 2 + -15x = 3x Combine like terms: 10 + 2 = 12 12 + -15x = 3x Solving 12 + -15x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + -15x + -3x = 3x + -3x Combine like terms: -15x + -3x = -18x 12 + -18x = 3x + -3x Combine like terms: 3x + -3x = 0 12 + -18x = 0 Add '-12' to each side of the equation. 12 + -12 + -18x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -18x = 0 + -12 -18x = 0 + -12 Combine like terms: 0 + -12 = -12 -18x = -12 Divide each side by '-18'. x = 0.6666666667 Simplifying x = 0.6666666667
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