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Simplifying 7 + 2x = 4(2x + 2) + -7(x + -3) Reorder the terms: 7 + 2x = 4(2 + 2x) + -7(x + -3) 7 + 2x = (2 * 4 + 2x * 4) + -7(x + -3) 7 + 2x = (8 + 8x) + -7(x + -3) Reorder the terms: 7 + 2x = 8 + 8x + -7(-3 + x) 7 + 2x = 8 + 8x + (-3 * -7 + x * -7) 7 + 2x = 8 + 8x + (21 + -7x) Reorder the terms: 7 + 2x = 8 + 21 + 8x + -7x Combine like terms: 8 + 21 = 29 7 + 2x = 29 + 8x + -7x Combine like terms: 8x + -7x = 1x 7 + 2x = 29 + 1x Solving 7 + 2x = 29 + 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 = 29 + 1x + -1x Combine like terms: 2x + -1x = 1x 7 + 1x = 29 + 1x + -1x Combine like terms: 1x + -1x = 0 7 + 1x = 29 + 0 7 + 1x = 29 Add '-7' to each side of the equation. 7 + -7 + 1x = 29 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 29 + -7 1x = 29 + -7 Combine like terms: 29 + -7 = 22 1x = 22 Divide each side by '1'. x = 22 Simplifying x = 22
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