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Simplifying 2(5x + -4) + -3(4x + 1) = 2x + -1 Reorder the terms: 2(-4 + 5x) + -3(4x + 1) = 2x + -1 (-4 * 2 + 5x * 2) + -3(4x + 1) = 2x + -1 (-8 + 10x) + -3(4x + 1) = 2x + -1 Reorder the terms: -8 + 10x + -3(1 + 4x) = 2x + -1 -8 + 10x + (1 * -3 + 4x * -3) = 2x + -1 -8 + 10x + (-3 + -12x) = 2x + -1 Reorder the terms: -8 + -3 + 10x + -12x = 2x + -1 Combine like terms: -8 + -3 = -11 -11 + 10x + -12x = 2x + -1 Combine like terms: 10x + -12x = -2x -11 + -2x = 2x + -1 Reorder the terms: -11 + -2x = -1 + 2x Solving -11 + -2x = -1 + 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. -11 + -2x + -2x = -1 + 2x + -2x Combine like terms: -2x + -2x = -4x -11 + -4x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 -11 + -4x = -1 + 0 -11 + -4x = -1 Add '11' to each side of the equation. -11 + 11 + -4x = -1 + 11 Combine like terms: -11 + 11 = 0 0 + -4x = -1 + 11 -4x = -1 + 11 Combine like terms: -1 + 11 = 10 -4x = 10 Divide each side by '-4'. x = -2.5 Simplifying x = -2.5
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