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Simplifying 2(-3x + 5) + 7x = 18 + -7x Reorder the terms: 2(5 + -3x) + 7x = 18 + -7x (5 * 2 + -3x * 2) + 7x = 18 + -7x (10 + -6x) + 7x = 18 + -7x Combine like terms: -6x + 7x = 1x 10 + 1x = 18 + -7x Solving 10 + 1x = 18 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 10 + 1x + 7x = 18 + -7x + 7x Combine like terms: 1x + 7x = 8x 10 + 8x = 18 + -7x + 7x Combine like terms: -7x + 7x = 0 10 + 8x = 18 + 0 10 + 8x = 18 Add '-10' to each side of the equation. 10 + -10 + 8x = 18 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = 18 + -10 8x = 18 + -10 Combine like terms: 18 + -10 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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