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Simplifying 7(x + 1) = 4[x + -3(3 + -1x)] Reorder the terms: 7(1 + x) = 4[x + -3(3 + -1x)] (1 * 7 + x * 7) = 4[x + -3(3 + -1x)] (7 + 7x) = 4[x + -3(3 + -1x)] 7 + 7x = 4[x + (3 * -3 + -1x * -3)] 7 + 7x = 4[x + (-9 + 3x)] Reorder the terms: 7 + 7x = 4[-9 + x + 3x] Combine like terms: x + 3x = 4x 7 + 7x = 4[-9 + 4x] 7 + 7x = [-9 * 4 + 4x * 4] 7 + 7x = [-36 + 16x] Solving 7 + 7x = -36 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 7 + 7x + -16x = -36 + 16x + -16x Combine like terms: 7x + -16x = -9x 7 + -9x = -36 + 16x + -16x Combine like terms: 16x + -16x = 0 7 + -9x = -36 + 0 7 + -9x = -36 Add '-7' to each side of the equation. 7 + -7 + -9x = -36 + -7 Combine like terms: 7 + -7 = 0 0 + -9x = -36 + -7 -9x = -36 + -7 Combine like terms: -36 + -7 = -43 -9x = -43 Divide each side by '-9'. x = 4.777777778 Simplifying x = 4.777777778
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