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Simplifying 13x + -5[2x + -1(x + 1)] = 15 + -2[3x + -5(x + 3)] Reorder the terms: 13x + -5[2x + -1(1 + x)] = 15 + -2[3x + -5(x + 3)] 13x + -5[2x + (1 * -1 + x * -1)] = 15 + -2[3x + -5(x + 3)] 13x + -5[2x + (-1 + -1x)] = 15 + -2[3x + -5(x + 3)] Reorder the terms: 13x + -5[-1 + 2x + -1x] = 15 + -2[3x + -5(x + 3)] Combine like terms: 2x + -1x = 1x 13x + -5[-1 + 1x] = 15 + -2[3x + -5(x + 3)] 13x + [-1 * -5 + 1x * -5] = 15 + -2[3x + -5(x + 3)] 13x + [5 + -5x] = 15 + -2[3x + -5(x + 3)] Reorder the terms: 5 + 13x + -5x = 15 + -2[3x + -5(x + 3)] Combine like terms: 13x + -5x = 8x 5 + 8x = 15 + -2[3x + -5(x + 3)] Reorder the terms: 5 + 8x = 15 + -2[3x + -5(3 + x)] 5 + 8x = 15 + -2[3x + (3 * -5 + x * -5)] 5 + 8x = 15 + -2[3x + (-15 + -5x)] Reorder the terms: 5 + 8x = 15 + -2[-15 + 3x + -5x] Combine like terms: 3x + -5x = -2x 5 + 8x = 15 + -2[-15 + -2x] 5 + 8x = 15 + [-15 * -2 + -2x * -2] 5 + 8x = 15 + [30 + 4x] Combine like terms: 15 + 30 = 45 5 + 8x = 45 + 4x Solving 5 + 8x = 45 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + 8x + -4x = 45 + 4x + -4x Combine like terms: 8x + -4x = 4x 5 + 4x = 45 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + 4x = 45 + 0 5 + 4x = 45 Add '-5' to each side of the equation. 5 + -5 + 4x = 45 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 45 + -5 4x = 45 + -5 Combine like terms: 45 + -5 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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