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Simplifying 8x + 4(2x + 1) = 15 + -1(3x + 2) Reorder the terms: 8x + 4(1 + 2x) = 15 + -1(3x + 2) 8x + (1 * 4 + 2x * 4) = 15 + -1(3x + 2) 8x + (4 + 8x) = 15 + -1(3x + 2) Reorder the terms: 4 + 8x + 8x = 15 + -1(3x + 2) Combine like terms: 8x + 8x = 16x 4 + 16x = 15 + -1(3x + 2) Reorder the terms: 4 + 16x = 15 + -1(2 + 3x) 4 + 16x = 15 + (2 * -1 + 3x * -1) 4 + 16x = 15 + (-2 + -3x) Combine like terms: 15 + -2 = 13 4 + 16x = 13 + -3x Solving 4 + 16x = 13 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4 + 16x + 3x = 13 + -3x + 3x Combine like terms: 16x + 3x = 19x 4 + 19x = 13 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 19x = 13 + 0 4 + 19x = 13 Add '-4' to each side of the equation. 4 + -4 + 19x = 13 + -4 Combine like terms: 4 + -4 = 0 0 + 19x = 13 + -4 19x = 13 + -4 Combine like terms: 13 + -4 = 9 19x = 9 Divide each side by '19'. x = 0.4736842105 Simplifying x = 0.4736842105
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