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Simplifying 4(3 + -1x) + 45 = 15x + 5(2x + -5) (3 * 4 + -1x * 4) + 45 = 15x + 5(2x + -5) (12 + -4x) + 45 = 15x + 5(2x + -5) Reorder the terms: 12 + 45 + -4x = 15x + 5(2x + -5) Combine like terms: 12 + 45 = 57 57 + -4x = 15x + 5(2x + -5) Reorder the terms: 57 + -4x = 15x + 5(-5 + 2x) 57 + -4x = 15x + (-5 * 5 + 2x * 5) 57 + -4x = 15x + (-25 + 10x) Reorder the terms: 57 + -4x = -25 + 15x + 10x Combine like terms: 15x + 10x = 25x 57 + -4x = -25 + 25x Solving 57 + -4x = -25 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 57 + -4x + -25x = -25 + 25x + -25x Combine like terms: -4x + -25x = -29x 57 + -29x = -25 + 25x + -25x Combine like terms: 25x + -25x = 0 57 + -29x = -25 + 0 57 + -29x = -25 Add '-57' to each side of the equation. 57 + -57 + -29x = -25 + -57 Combine like terms: 57 + -57 = 0 0 + -29x = -25 + -57 -29x = -25 + -57 Combine like terms: -25 + -57 = -82 -29x = -82 Divide each side by '-29'. x = 2.827586207 Simplifying x = 2.827586207
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