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Simplifying 5(5 + -3x) = 12 + -4(x + -3) (5 * 5 + -3x * 5) = 12 + -4(x + -3) (25 + -15x) = 12 + -4(x + -3) Reorder the terms: 25 + -15x = 12 + -4(-3 + x) 25 + -15x = 12 + (-3 * -4 + x * -4) 25 + -15x = 12 + (12 + -4x) Combine like terms: 12 + 12 = 24 25 + -15x = 24 + -4x Solving 25 + -15x = 24 + -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. 25 + -15x + 4x = 24 + -4x + 4x Combine like terms: -15x + 4x = -11x 25 + -11x = 24 + -4x + 4x Combine like terms: -4x + 4x = 0 25 + -11x = 24 + 0 25 + -11x = 24 Add '-25' to each side of the equation. 25 + -25 + -11x = 24 + -25 Combine like terms: 25 + -25 = 0 0 + -11x = 24 + -25 -11x = 24 + -25 Combine like terms: 24 + -25 = -1 -11x = -1 Divide each side by '-11'. x = 0.09090909091 Simplifying x = 0.09090909091
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