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Simplifying -4(3 + -1x) + 5x = 8x + 10 + -3 (3 * -4 + -1x * -4) + 5x = 8x + 10 + -3 (-12 + 4x) + 5x = 8x + 10 + -3 Combine like terms: 4x + 5x = 9x -12 + 9x = 8x + 10 + -3 Reorder the terms: -12 + 9x = 10 + -3 + 8x Combine like terms: 10 + -3 = 7 -12 + 9x = 7 + 8x Solving -12 + 9x = 7 + 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. -12 + 9x + -8x = 7 + 8x + -8x Combine like terms: 9x + -8x = 1x -12 + 1x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + 1x = 7 + 0 -12 + 1x = 7 Add '12' to each side of the equation. -12 + 12 + 1x = 7 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 7 + 12 1x = 7 + 12 Combine like terms: 7 + 12 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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