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Simplifying (x + -4) * -2 + 3(5x + -8) = 2(3x + -4) + 15 Reorder the terms: (-4 + x) * -2 + 3(5x + -8) = 2(3x + -4) + 15 Reorder the terms for easier multiplication: -2(-4 + x) + 3(5x + -8) = 2(3x + -4) + 15 (-4 * -2 + x * -2) + 3(5x + -8) = 2(3x + -4) + 15 (8 + -2x) + 3(5x + -8) = 2(3x + -4) + 15 Reorder the terms: 8 + -2x + 3(-8 + 5x) = 2(3x + -4) + 15 8 + -2x + (-8 * 3 + 5x * 3) = 2(3x + -4) + 15 8 + -2x + (-24 + 15x) = 2(3x + -4) + 15 Reorder the terms: 8 + -24 + -2x + 15x = 2(3x + -4) + 15 Combine like terms: 8 + -24 = -16 -16 + -2x + 15x = 2(3x + -4) + 15 Combine like terms: -2x + 15x = 13x -16 + 13x = 2(3x + -4) + 15 Reorder the terms: -16 + 13x = 2(-4 + 3x) + 15 -16 + 13x = (-4 * 2 + 3x * 2) + 15 -16 + 13x = (-8 + 6x) + 15 Reorder the terms: -16 + 13x = -8 + 15 + 6x Combine like terms: -8 + 15 = 7 -16 + 13x = 7 + 6x Solving -16 + 13x = 7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -16 + 13x + -6x = 7 + 6x + -6x Combine like terms: 13x + -6x = 7x -16 + 7x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 -16 + 7x = 7 + 0 -16 + 7x = 7 Add '16' to each side of the equation. -16 + 16 + 7x = 7 + 16 Combine like terms: -16 + 16 = 0 0 + 7x = 7 + 16 7x = 7 + 16 Combine like terms: 7 + 16 = 23 7x = 23 Divide each side by '7'. x = 3.285714286 Simplifying x = 3.285714286
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