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Simplifying 2(5x + -8) + -3(4x + -5) = 4(3x + -4) + 1 Reorder the terms: 2(-8 + 5x) + -3(4x + -5) = 4(3x + -4) + 1 (-8 * 2 + 5x * 2) + -3(4x + -5) = 4(3x + -4) + 1 (-16 + 10x) + -3(4x + -5) = 4(3x + -4) + 1 Reorder the terms: -16 + 10x + -3(-5 + 4x) = 4(3x + -4) + 1 -16 + 10x + (-5 * -3 + 4x * -3) = 4(3x + -4) + 1 -16 + 10x + (15 + -12x) = 4(3x + -4) + 1 Reorder the terms: -16 + 15 + 10x + -12x = 4(3x + -4) + 1 Combine like terms: -16 + 15 = -1 -1 + 10x + -12x = 4(3x + -4) + 1 Combine like terms: 10x + -12x = -2x -1 + -2x = 4(3x + -4) + 1 Reorder the terms: -1 + -2x = 4(-4 + 3x) + 1 -1 + -2x = (-4 * 4 + 3x * 4) + 1 -1 + -2x = (-16 + 12x) + 1 Reorder the terms: -1 + -2x = -16 + 1 + 12x Combine like terms: -16 + 1 = -15 -1 + -2x = -15 + 12x Solving -1 + -2x = -15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -1 + -2x + -12x = -15 + 12x + -12x Combine like terms: -2x + -12x = -14x -1 + -14x = -15 + 12x + -12x Combine like terms: 12x + -12x = 0 -1 + -14x = -15 + 0 -1 + -14x = -15 Add '1' to each side of the equation. -1 + 1 + -14x = -15 + 1 Combine like terms: -1 + 1 = 0 0 + -14x = -15 + 1 -14x = -15 + 1 Combine like terms: -15 + 1 = -14 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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