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Simplifying -4x + 45 = 3(5x + -4) Reorder the terms: 45 + -4x = 3(5x + -4) Reorder the terms: 45 + -4x = 3(-4 + 5x) 45 + -4x = (-4 * 3 + 5x * 3) 45 + -4x = (-12 + 15x) Solving 45 + -4x = -12 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 45 + -4x + -15x = -12 + 15x + -15x Combine like terms: -4x + -15x = -19x 45 + -19x = -12 + 15x + -15x Combine like terms: 15x + -15x = 0 45 + -19x = -12 + 0 45 + -19x = -12 Add '-45' to each side of the equation. 45 + -45 + -19x = -12 + -45 Combine like terms: 45 + -45 = 0 0 + -19x = -12 + -45 -19x = -12 + -45 Combine like terms: -12 + -45 = -57 -19x = -57 Divide each side by '-19'. x = 3 Simplifying x = 3
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