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Simplifying 2(4x + 5) + -10 = 4(2x + -3) + x Reorder the terms: 2(5 + 4x) + -10 = 4(2x + -3) + x (5 * 2 + 4x * 2) + -10 = 4(2x + -3) + x (10 + 8x) + -10 = 4(2x + -3) + x Reorder the terms: 10 + -10 + 8x = 4(2x + -3) + x Combine like terms: 10 + -10 = 0 0 + 8x = 4(2x + -3) + x 8x = 4(2x + -3) + x Reorder the terms: 8x = 4(-3 + 2x) + x 8x = (-3 * 4 + 2x * 4) + x 8x = (-12 + 8x) + x Combine like terms: 8x + x = 9x 8x = -12 + 9x Solving 8x = -12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 8x + -9x = -12 + 9x + -9x Combine like terms: 8x + -9x = -1x -1x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 -1x = -12 + 0 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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