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Simplifying 5[3(x + 4) + -2(1 + -1x)] + -1x + -15 = 15x + 45 Reorder the terms: 5[3(4 + x) + -2(1 + -1x)] + -1x + -15 = 15x + 45 5[(4 * 3 + x * 3) + -2(1 + -1x)] + -1x + -15 = 15x + 45 5[(12 + 3x) + -2(1 + -1x)] + -1x + -15 = 15x + 45 5[12 + 3x + (1 * -2 + -1x * -2)] + -1x + -15 = 15x + 45 5[12 + 3x + (-2 + 2x)] + -1x + -15 = 15x + 45 Reorder the terms: 5[12 + -2 + 3x + 2x] + -1x + -15 = 15x + 45 Combine like terms: 12 + -2 = 10 5[10 + 3x + 2x] + -1x + -15 = 15x + 45 Combine like terms: 3x + 2x = 5x 5[10 + 5x] + -1x + -15 = 15x + 45 [10 * 5 + 5x * 5] + -1x + -15 = 15x + 45 [50 + 25x] + -1x + -15 = 15x + 45 Reorder the terms: 50 + -15 + 25x + -1x = 15x + 45 Combine like terms: 50 + -15 = 35 35 + 25x + -1x = 15x + 45 Combine like terms: 25x + -1x = 24x 35 + 24x = 15x + 45 Reorder the terms: 35 + 24x = 45 + 15x Solving 35 + 24x = 45 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 35 + 24x + -15x = 45 + 15x + -15x Combine like terms: 24x + -15x = 9x 35 + 9x = 45 + 15x + -15x Combine like terms: 15x + -15x = 0 35 + 9x = 45 + 0 35 + 9x = 45 Add '-35' to each side of the equation. 35 + -35 + 9x = 45 + -35 Combine like terms: 35 + -35 = 0 0 + 9x = 45 + -35 9x = 45 + -35 Combine like terms: 45 + -35 = 10 9x = 10 Divide each side by '9'. x = 1.111111111 Simplifying x = 1.111111111
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