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Simplifying 7 + 2x = 2(2x + 4) + -3(x + -3) Reorder the terms: 7 + 2x = 2(4 + 2x) + -3(x + -3) 7 + 2x = (4 * 2 + 2x * 2) + -3(x + -3) 7 + 2x = (8 + 4x) + -3(x + -3) Reorder the terms: 7 + 2x = 8 + 4x + -3(-3 + x) 7 + 2x = 8 + 4x + (-3 * -3 + x * -3) 7 + 2x = 8 + 4x + (9 + -3x) Reorder the terms: 7 + 2x = 8 + 9 + 4x + -3x Combine like terms: 8 + 9 = 17 7 + 2x = 17 + 4x + -3x Combine like terms: 4x + -3x = 1x 7 + 2x = 17 + 1x Solving 7 + 2x = 17 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + 2x + -1x = 17 + 1x + -1x Combine like terms: 2x + -1x = 1x 7 + 1x = 17 + 1x + -1x Combine like terms: 1x + -1x = 0 7 + 1x = 17 + 0 7 + 1x = 17 Add '-7' to each side of the equation. 7 + -7 + 1x = 17 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 17 + -7 1x = 17 + -7 Combine like terms: 17 + -7 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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