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Simplifying 7 + 2x = 4(2x + 4) + -7(x + -2) Reorder the terms: 7 + 2x = 4(4 + 2x) + -7(x + -2) 7 + 2x = (4 * 4 + 2x * 4) + -7(x + -2) 7 + 2x = (16 + 8x) + -7(x + -2) Reorder the terms: 7 + 2x = 16 + 8x + -7(-2 + x) 7 + 2x = 16 + 8x + (-2 * -7 + x * -7) 7 + 2x = 16 + 8x + (14 + -7x) Reorder the terms: 7 + 2x = 16 + 14 + 8x + -7x Combine like terms: 16 + 14 = 30 7 + 2x = 30 + 8x + -7x Combine like terms: 8x + -7x = 1x 7 + 2x = 30 + 1x Solving 7 + 2x = 30 + 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 = 30 + 1x + -1x Combine like terms: 2x + -1x = 1x 7 + 1x = 30 + 1x + -1x Combine like terms: 1x + -1x = 0 7 + 1x = 30 + 0 7 + 1x = 30 Add '-7' to each side of the equation. 7 + -7 + 1x = 30 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 30 + -7 1x = 30 + -7 Combine like terms: 30 + -7 = 23 1x = 23 Divide each side by '1'. x = 23 Simplifying x = 23
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