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Simplifying 3(4x + -5) + 2(x + -4) = 3(5x + 2) Reorder the terms: 3(-5 + 4x) + 2(x + -4) = 3(5x + 2) (-5 * 3 + 4x * 3) + 2(x + -4) = 3(5x + 2) (-15 + 12x) + 2(x + -4) = 3(5x + 2) Reorder the terms: -15 + 12x + 2(-4 + x) = 3(5x + 2) -15 + 12x + (-4 * 2 + x * 2) = 3(5x + 2) -15 + 12x + (-8 + 2x) = 3(5x + 2) Reorder the terms: -15 + -8 + 12x + 2x = 3(5x + 2) Combine like terms: -15 + -8 = -23 -23 + 12x + 2x = 3(5x + 2) Combine like terms: 12x + 2x = 14x -23 + 14x = 3(5x + 2) Reorder the terms: -23 + 14x = 3(2 + 5x) -23 + 14x = (2 * 3 + 5x * 3) -23 + 14x = (6 + 15x) Solving -23 + 14x = 6 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -23 + 14x + -15x = 6 + 15x + -15x Combine like terms: 14x + -15x = -1x -23 + -1x = 6 + 15x + -15x Combine like terms: 15x + -15x = 0 -23 + -1x = 6 + 0 -23 + -1x = 6 Add '23' to each side of the equation. -23 + 23 + -1x = 6 + 23 Combine like terms: -23 + 23 = 0 0 + -1x = 6 + 23 -1x = 6 + 23 Combine like terms: 6 + 23 = 29 -1x = 29 Divide each side by '-1'. x = -29 Simplifying x = -29
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