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Simplifying 4(3x + 4) + 3(5x + -8) = 3(2x + 6) + 2x + 3 Reorder the terms: 4(4 + 3x) + 3(5x + -8) = 3(2x + 6) + 2x + 3 (4 * 4 + 3x * 4) + 3(5x + -8) = 3(2x + 6) + 2x + 3 (16 + 12x) + 3(5x + -8) = 3(2x + 6) + 2x + 3 Reorder the terms: 16 + 12x + 3(-8 + 5x) = 3(2x + 6) + 2x + 3 16 + 12x + (-8 * 3 + 5x * 3) = 3(2x + 6) + 2x + 3 16 + 12x + (-24 + 15x) = 3(2x + 6) + 2x + 3 Reorder the terms: 16 + -24 + 12x + 15x = 3(2x + 6) + 2x + 3 Combine like terms: 16 + -24 = -8 -8 + 12x + 15x = 3(2x + 6) + 2x + 3 Combine like terms: 12x + 15x = 27x -8 + 27x = 3(2x + 6) + 2x + 3 Reorder the terms: -8 + 27x = 3(6 + 2x) + 2x + 3 -8 + 27x = (6 * 3 + 2x * 3) + 2x + 3 -8 + 27x = (18 + 6x) + 2x + 3 Reorder the terms: -8 + 27x = 18 + 3 + 6x + 2x Combine like terms: 18 + 3 = 21 -8 + 27x = 21 + 6x + 2x Combine like terms: 6x + 2x = 8x -8 + 27x = 21 + 8x Solving -8 + 27x = 21 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -8 + 27x + -8x = 21 + 8x + -8x Combine like terms: 27x + -8x = 19x -8 + 19x = 21 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + 19x = 21 + 0 -8 + 19x = 21 Add '8' to each side of the equation. -8 + 8 + 19x = 21 + 8 Combine like terms: -8 + 8 = 0 0 + 19x = 21 + 8 19x = 21 + 8 Combine like terms: 21 + 8 = 29 19x = 29 Divide each side by '19'. x = 1.526315789 Simplifying x = 1.526315789
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