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