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Simplifying 7x + 2 = 2(5x + -3) Reorder the terms: 2 + 7x = 2(5x + -3) Reorder the terms: 2 + 7x = 2(-3 + 5x) 2 + 7x = (-3 * 2 + 5x * 2) 2 + 7x = (-6 + 10x) Solving 2 + 7x = -6 + 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. 2 + 7x + -10x = -6 + 10x + -10x Combine like terms: 7x + -10x = -3x 2 + -3x = -6 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + -3x = -6 + 0 2 + -3x = -6 Add '-2' to each side of the equation. 2 + -2 + -3x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = -6 + -2 -3x = -6 + -2 Combine like terms: -6 + -2 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667
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