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Simplifying -3(5x + 24) + 2 = 2(3 + -2x) + -4 Reorder the terms: -3(24 + 5x) + 2 = 2(3 + -2x) + -4 (24 * -3 + 5x * -3) + 2 = 2(3 + -2x) + -4 (-72 + -15x) + 2 = 2(3 + -2x) + -4 Reorder the terms: -72 + 2 + -15x = 2(3 + -2x) + -4 Combine like terms: -72 + 2 = -70 -70 + -15x = 2(3 + -2x) + -4 -70 + -15x = (3 * 2 + -2x * 2) + -4 -70 + -15x = (6 + -4x) + -4 Reorder the terms: -70 + -15x = 6 + -4 + -4x Combine like terms: 6 + -4 = 2 -70 + -15x = 2 + -4x Solving -70 + -15x = 2 + -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. -70 + -15x + 4x = 2 + -4x + 4x Combine like terms: -15x + 4x = -11x -70 + -11x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 -70 + -11x = 2 + 0 -70 + -11x = 2 Add '70' to each side of the equation. -70 + 70 + -11x = 2 + 70 Combine like terms: -70 + 70 = 0 0 + -11x = 2 + 70 -11x = 2 + 70 Combine like terms: 2 + 70 = 72 -11x = 72 Divide each side by '-11'. x = -6.545454545 Simplifying x = -6.545454545
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