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Simplifying 24x + -3(5x + -7) + 4 = 3(2x + 10) + -2x Reorder the terms: 24x + -3(-7 + 5x) + 4 = 3(2x + 10) + -2x 24x + (-7 * -3 + 5x * -3) + 4 = 3(2x + 10) + -2x 24x + (21 + -15x) + 4 = 3(2x + 10) + -2x Reorder the terms: 21 + 4 + 24x + -15x = 3(2x + 10) + -2x Combine like terms: 21 + 4 = 25 25 + 24x + -15x = 3(2x + 10) + -2x Combine like terms: 24x + -15x = 9x 25 + 9x = 3(2x + 10) + -2x Reorder the terms: 25 + 9x = 3(10 + 2x) + -2x 25 + 9x = (10 * 3 + 2x * 3) + -2x 25 + 9x = (30 + 6x) + -2x Combine like terms: 6x + -2x = 4x 25 + 9x = 30 + 4x Solving 25 + 9x = 30 + 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 + 9x + -4x = 30 + 4x + -4x Combine like terms: 9x + -4x = 5x 25 + 5x = 30 + 4x + -4x Combine like terms: 4x + -4x = 0 25 + 5x = 30 + 0 25 + 5x = 30 Add '-25' to each side of the equation. 25 + -25 + 5x = 30 + -25 Combine like terms: 25 + -25 = 0 0 + 5x = 30 + -25 5x = 30 + -25 Combine like terms: 30 + -25 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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