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Simplifying 2 + 5 = 4(2x + 3) + -1(7x + 1) Combine like terms: 2 + 5 = 7 7 = 4(2x + 3) + -1(7x + 1) Reorder the terms: 7 = 4(3 + 2x) + -1(7x + 1) 7 = (3 * 4 + 2x * 4) + -1(7x + 1) 7 = (12 + 8x) + -1(7x + 1) Reorder the terms: 7 = 12 + 8x + -1(1 + 7x) 7 = 12 + 8x + (1 * -1 + 7x * -1) 7 = 12 + 8x + (-1 + -7x) Reorder the terms: 7 = 12 + -1 + 8x + -7x Combine like terms: 12 + -1 = 11 7 = 11 + 8x + -7x Combine like terms: 8x + -7x = 1x 7 = 11 + 1x Solving 7 = 11 + 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 + -1x = 11 + 1x + -1x Combine like terms: 1x + -1x = 0 7 + -1x = 11 + 0 7 + -1x = 11 Add '-7' to each side of the equation. 7 + -7 + -1x = 11 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 11 + -7 -1x = 11 + -7 Combine like terms: 11 + -7 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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