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Simplifying 2(3x + -5) + 4(x + 2) = 3(2x + -1) + -1(4x + 5) Reorder the terms: 2(-5 + 3x) + 4(x + 2) = 3(2x + -1) + -1(4x + 5) (-5 * 2 + 3x * 2) + 4(x + 2) = 3(2x + -1) + -1(4x + 5) (-10 + 6x) + 4(x + 2) = 3(2x + -1) + -1(4x + 5) Reorder the terms: -10 + 6x + 4(2 + x) = 3(2x + -1) + -1(4x + 5) -10 + 6x + (2 * 4 + x * 4) = 3(2x + -1) + -1(4x + 5) -10 + 6x + (8 + 4x) = 3(2x + -1) + -1(4x + 5) Reorder the terms: -10 + 8 + 6x + 4x = 3(2x + -1) + -1(4x + 5) Combine like terms: -10 + 8 = -2 -2 + 6x + 4x = 3(2x + -1) + -1(4x + 5) Combine like terms: 6x + 4x = 10x -2 + 10x = 3(2x + -1) + -1(4x + 5) Reorder the terms: -2 + 10x = 3(-1 + 2x) + -1(4x + 5) -2 + 10x = (-1 * 3 + 2x * 3) + -1(4x + 5) -2 + 10x = (-3 + 6x) + -1(4x + 5) Reorder the terms: -2 + 10x = -3 + 6x + -1(5 + 4x) -2 + 10x = -3 + 6x + (5 * -1 + 4x * -1) -2 + 10x = -3 + 6x + (-5 + -4x) Reorder the terms: -2 + 10x = -3 + -5 + 6x + -4x Combine like terms: -3 + -5 = -8 -2 + 10x = -8 + 6x + -4x Combine like terms: 6x + -4x = 2x -2 + 10x = -8 + 2x Solving -2 + 10x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + 10x + -2x = -8 + 2x + -2x Combine like terms: 10x + -2x = 8x -2 + 8x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 8x = -8 + 0 -2 + 8x = -8 Add '2' to each side of the equation. -2 + 2 + 8x = -8 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = -8 + 2 8x = -8 + 2 Combine like terms: -8 + 2 = -6 8x = -6 Divide each side by '8'. x = -0.75 Simplifying x = -0.75
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