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Simplifying 3(2x + -5) + -1(2x + -4) = 6 + -1(4x + 5) Reorder the terms: 3(-5 + 2x) + -1(2x + -4) = 6 + -1(4x + 5) (-5 * 3 + 2x * 3) + -1(2x + -4) = 6 + -1(4x + 5) (-15 + 6x) + -1(2x + -4) = 6 + -1(4x + 5) Reorder the terms: -15 + 6x + -1(-4 + 2x) = 6 + -1(4x + 5) -15 + 6x + (-4 * -1 + 2x * -1) = 6 + -1(4x + 5) -15 + 6x + (4 + -2x) = 6 + -1(4x + 5) Reorder the terms: -15 + 4 + 6x + -2x = 6 + -1(4x + 5) Combine like terms: -15 + 4 = -11 -11 + 6x + -2x = 6 + -1(4x + 5) Combine like terms: 6x + -2x = 4x -11 + 4x = 6 + -1(4x + 5) Reorder the terms: -11 + 4x = 6 + -1(5 + 4x) -11 + 4x = 6 + (5 * -1 + 4x * -1) -11 + 4x = 6 + (-5 + -4x) Combine like terms: 6 + -5 = 1 -11 + 4x = 1 + -4x Solving -11 + 4x = 1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -11 + 4x + 4x = 1 + -4x + 4x Combine like terms: 4x + 4x = 8x -11 + 8x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 -11 + 8x = 1 + 0 -11 + 8x = 1 Add '11' to each side of the equation. -11 + 11 + 8x = 1 + 11 Combine like terms: -11 + 11 = 0 0 + 8x = 1 + 11 8x = 1 + 11 Combine like terms: 1 + 11 = 12 8x = 12 Divide each side by '8'. x = 1.5 Simplifying x = 1.5
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