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Simplifying 7(x + 1) = 4[3x + -1(7 + -1x)] Reorder the terms: 7(1 + x) = 4[3x + -1(7 + -1x)] (1 * 7 + x * 7) = 4[3x + -1(7 + -1x)] (7 + 7x) = 4[3x + -1(7 + -1x)] 7 + 7x = 4[3x + (7 * -1 + -1x * -1)] 7 + 7x = 4[3x + (-7 + 1x)] Reorder the terms: 7 + 7x = 4[-7 + 3x + 1x] Combine like terms: 3x + 1x = 4x 7 + 7x = 4[-7 + 4x] 7 + 7x = [-7 * 4 + 4x * 4] 7 + 7x = [-28 + 16x] Solving 7 + 7x = -28 + 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 = -28 + 16x + -16x Combine like terms: 7x + -16x = -9x 7 + -9x = -28 + 16x + -16x Combine like terms: 16x + -16x = 0 7 + -9x = -28 + 0 7 + -9x = -28 Add '-7' to each side of the equation. 7 + -7 + -9x = -28 + -7 Combine like terms: 7 + -7 = 0 0 + -9x = -28 + -7 -9x = -28 + -7 Combine like terms: -28 + -7 = -35 -9x = -35 Divide each side by '-9'. x = 3.888888889 Simplifying x = 3.888888889
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