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Simplifying 3(4x + -5) + -2(2x + -2) = 4(3x + -2) + 5 Reorder the terms: 3(-5 + 4x) + -2(2x + -2) = 4(3x + -2) + 5 (-5 * 3 + 4x * 3) + -2(2x + -2) = 4(3x + -2) + 5 (-15 + 12x) + -2(2x + -2) = 4(3x + -2) + 5 Reorder the terms: -15 + 12x + -2(-2 + 2x) = 4(3x + -2) + 5 -15 + 12x + (-2 * -2 + 2x * -2) = 4(3x + -2) + 5 -15 + 12x + (4 + -4x) = 4(3x + -2) + 5 Reorder the terms: -15 + 4 + 12x + -4x = 4(3x + -2) + 5 Combine like terms: -15 + 4 = -11 -11 + 12x + -4x = 4(3x + -2) + 5 Combine like terms: 12x + -4x = 8x -11 + 8x = 4(3x + -2) + 5 Reorder the terms: -11 + 8x = 4(-2 + 3x) + 5 -11 + 8x = (-2 * 4 + 3x * 4) + 5 -11 + 8x = (-8 + 12x) + 5 Reorder the terms: -11 + 8x = -8 + 5 + 12x Combine like terms: -8 + 5 = -3 -11 + 8x = -3 + 12x Solving -11 + 8x = -3 + 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. -11 + 8x + -12x = -3 + 12x + -12x Combine like terms: 8x + -12x = -4x -11 + -4x = -3 + 12x + -12x Combine like terms: 12x + -12x = 0 -11 + -4x = -3 + 0 -11 + -4x = -3 Add '11' to each side of the equation. -11 + 11 + -4x = -3 + 11 Combine like terms: -11 + 11 = 0 0 + -4x = -3 + 11 -4x = -3 + 11 Combine like terms: -3 + 11 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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