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Simplifying 2(4x + -3) + -3(2x + 10) = 8x + -24 Reorder the terms: 2(-3 + 4x) + -3(2x + 10) = 8x + -24 (-3 * 2 + 4x * 2) + -3(2x + 10) = 8x + -24 (-6 + 8x) + -3(2x + 10) = 8x + -24 Reorder the terms: -6 + 8x + -3(10 + 2x) = 8x + -24 -6 + 8x + (10 * -3 + 2x * -3) = 8x + -24 -6 + 8x + (-30 + -6x) = 8x + -24 Reorder the terms: -6 + -30 + 8x + -6x = 8x + -24 Combine like terms: -6 + -30 = -36 -36 + 8x + -6x = 8x + -24 Combine like terms: 8x + -6x = 2x -36 + 2x = 8x + -24 Reorder the terms: -36 + 2x = -24 + 8x Solving -36 + 2x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -36 + 2x + -8x = -24 + 8x + -8x Combine like terms: 2x + -8x = -6x -36 + -6x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 -36 + -6x = -24 + 0 -36 + -6x = -24 Add '36' to each side of the equation. -36 + 36 + -6x = -24 + 36 Combine like terms: -36 + 36 = 0 0 + -6x = -24 + 36 -6x = -24 + 36 Combine like terms: -24 + 36 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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