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Simplifying 3(5x + -4) = -4x + 45 Reorder the terms: 3(-4 + 5x) = -4x + 45 (-4 * 3 + 5x * 3) = -4x + 45 (-12 + 15x) = -4x + 45 Reorder the terms: -12 + 15x = 45 + -4x Solving -12 + 15x = 45 + -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. -12 + 15x + 4x = 45 + -4x + 4x Combine like terms: 15x + 4x = 19x -12 + 19x = 45 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 19x = 45 + 0 -12 + 19x = 45 Add '12' to each side of the equation. -12 + 12 + 19x = 45 + 12 Combine like terms: -12 + 12 = 0 0 + 19x = 45 + 12 19x = 45 + 12 Combine like terms: 45 + 12 = 57 19x = 57 Divide each side by '19'. x = 3 Simplifying x = 3
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