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Simplifying 6x + -3(5x + 2) = 24(1 + -1x) Reorder the terms: 6x + -3(2 + 5x) = 24(1 + -1x) 6x + (2 * -3 + 5x * -3) = 24(1 + -1x) 6x + (-6 + -15x) = 24(1 + -1x) Reorder the terms: -6 + 6x + -15x = 24(1 + -1x) Combine like terms: 6x + -15x = -9x -6 + -9x = 24(1 + -1x) -6 + -9x = (1 * 24 + -1x * 24) -6 + -9x = (24 + -24x) Solving -6 + -9x = 24 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -6 + -9x + 24x = 24 + -24x + 24x Combine like terms: -9x + 24x = 15x -6 + 15x = 24 + -24x + 24x Combine like terms: -24x + 24x = 0 -6 + 15x = 24 + 0 -6 + 15x = 24 Add '6' to each side of the equation. -6 + 6 + 15x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 15x = 24 + 6 15x = 24 + 6 Combine like terms: 24 + 6 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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