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Simplifying 7(x + 1) = 4[x + -1(3 + -1x)] Reorder the terms: 7(1 + x) = 4[x + -1(3 + -1x)] (1 * 7 + x * 7) = 4[x + -1(3 + -1x)] (7 + 7x) = 4[x + -1(3 + -1x)] 7 + 7x = 4[x + (3 * -1 + -1x * -1)] 7 + 7x = 4[x + (-3 + 1x)] Reorder the terms: 7 + 7x = 4[-3 + x + 1x] Combine like terms: x + 1x = 2x 7 + 7x = 4[-3 + 2x] 7 + 7x = [-3 * 4 + 2x * 4] 7 + 7x = [-12 + 8x] Solving 7 + 7x = -12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 7 + 7x + -8x = -12 + 8x + -8x Combine like terms: 7x + -8x = -1x 7 + -1x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + -1x = -12 + 0 7 + -1x = -12 Add '-7' to each side of the equation. 7 + -7 + -1x = -12 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = -12 + -7 -1x = -12 + -7 Combine like terms: -12 + -7 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19
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