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Simplifying 3 + -2x + 4[3 + 5(x + 1)] = 10x + -7 Reorder the terms: 3 + -2x + 4[3 + 5(1 + x)] = 10x + -7 3 + -2x + 4[3 + (1 * 5 + x * 5)] = 10x + -7 3 + -2x + 4[3 + (5 + 5x)] = 10x + -7 Combine like terms: 3 + 5 = 8 3 + -2x + 4[8 + 5x] = 10x + -7 3 + -2x + [8 * 4 + 5x * 4] = 10x + -7 3 + -2x + [32 + 20x] = 10x + -7 Reorder the terms: 3 + 32 + -2x + 20x = 10x + -7 Combine like terms: 3 + 32 = 35 35 + -2x + 20x = 10x + -7 Combine like terms: -2x + 20x = 18x 35 + 18x = 10x + -7 Reorder the terms: 35 + 18x = -7 + 10x Solving 35 + 18x = -7 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 35 + 18x + -10x = -7 + 10x + -10x Combine like terms: 18x + -10x = 8x 35 + 8x = -7 + 10x + -10x Combine like terms: 10x + -10x = 0 35 + 8x = -7 + 0 35 + 8x = -7 Add '-35' to each side of the equation. 35 + -35 + 8x = -7 + -35 Combine like terms: 35 + -35 = 0 0 + 8x = -7 + -35 8x = -7 + -35 Combine like terms: -7 + -35 = -42 8x = -42 Divide each side by '8'. x = -5.25 Simplifying x = -5.25
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