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Simplifying 5(3x + 4) + 8(2 + 2x) = 6(5x + -5) + 6 Reorder the terms: 5(4 + 3x) + 8(2 + 2x) = 6(5x + -5) + 6 (4 * 5 + 3x * 5) + 8(2 + 2x) = 6(5x + -5) + 6 (20 + 15x) + 8(2 + 2x) = 6(5x + -5) + 6 20 + 15x + (2 * 8 + 2x * 8) = 6(5x + -5) + 6 20 + 15x + (16 + 16x) = 6(5x + -5) + 6 Reorder the terms: 20 + 16 + 15x + 16x = 6(5x + -5) + 6 Combine like terms: 20 + 16 = 36 36 + 15x + 16x = 6(5x + -5) + 6 Combine like terms: 15x + 16x = 31x 36 + 31x = 6(5x + -5) + 6 Reorder the terms: 36 + 31x = 6(-5 + 5x) + 6 36 + 31x = (-5 * 6 + 5x * 6) + 6 36 + 31x = (-30 + 30x) + 6 Reorder the terms: 36 + 31x = -30 + 6 + 30x Combine like terms: -30 + 6 = -24 36 + 31x = -24 + 30x Solving 36 + 31x = -24 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 36 + 31x + -30x = -24 + 30x + -30x Combine like terms: 31x + -30x = 1x 36 + 1x = -24 + 30x + -30x Combine like terms: 30x + -30x = 0 36 + 1x = -24 + 0 36 + 1x = -24 Add '-36' to each side of the equation. 36 + -36 + 1x = -24 + -36 Combine like terms: 36 + -36 = 0 0 + 1x = -24 + -36 1x = -24 + -36 Combine like terms: -24 + -36 = -60 1x = -60 Divide each side by '1'. x = -60 Simplifying x = -60
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