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Simplifying 4(3x + -4) + -5(2x + 7) = -45 Reorder the terms: 4(-4 + 3x) + -5(2x + 7) = -45 (-4 * 4 + 3x * 4) + -5(2x + 7) = -45 (-16 + 12x) + -5(2x + 7) = -45 Reorder the terms: -16 + 12x + -5(7 + 2x) = -45 -16 + 12x + (7 * -5 + 2x * -5) = -45 -16 + 12x + (-35 + -10x) = -45 Reorder the terms: -16 + -35 + 12x + -10x = -45 Combine like terms: -16 + -35 = -51 -51 + 12x + -10x = -45 Combine like terms: 12x + -10x = 2x -51 + 2x = -45 Solving -51 + 2x = -45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + 2x = -45 + 51 Combine like terms: -51 + 51 = 0 0 + 2x = -45 + 51 2x = -45 + 51 Combine like terms: -45 + 51 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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