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Simplifying 7 + 2x = 5(x + 1) + -4(x + -3) Reorder the terms: 7 + 2x = 5(1 + x) + -4(x + -3) 7 + 2x = (1 * 5 + x * 5) + -4(x + -3) 7 + 2x = (5 + 5x) + -4(x + -3) Reorder the terms: 7 + 2x = 5 + 5x + -4(-3 + x) 7 + 2x = 5 + 5x + (-3 * -4 + x * -4) 7 + 2x = 5 + 5x + (12 + -4x) Reorder the terms: 7 + 2x = 5 + 12 + 5x + -4x Combine like terms: 5 + 12 = 17 7 + 2x = 17 + 5x + -4x Combine like terms: 5x + -4x = 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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