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Simplifying -3(8x + 4) + -2(3 + -17x) = 3(1 + 3x) Reorder the terms: -3(4 + 8x) + -2(3 + -17x) = 3(1 + 3x) (4 * -3 + 8x * -3) + -2(3 + -17x) = 3(1 + 3x) (-12 + -24x) + -2(3 + -17x) = 3(1 + 3x) -12 + -24x + (3 * -2 + -17x * -2) = 3(1 + 3x) -12 + -24x + (-6 + 34x) = 3(1 + 3x) Reorder the terms: -12 + -6 + -24x + 34x = 3(1 + 3x) Combine like terms: -12 + -6 = -18 -18 + -24x + 34x = 3(1 + 3x) Combine like terms: -24x + 34x = 10x -18 + 10x = 3(1 + 3x) -18 + 10x = (1 * 3 + 3x * 3) -18 + 10x = (3 + 9x) Solving -18 + 10x = 3 + 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. -18 + 10x + -9x = 3 + 9x + -9x Combine like terms: 10x + -9x = 1x -18 + 1x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 -18 + 1x = 3 + 0 -18 + 1x = 3 Add '18' to each side of the equation. -18 + 18 + 1x = 3 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = 3 + 18 1x = 3 + 18 Combine like terms: 3 + 18 = 21 1x = 21 Divide each side by '1'. x = 21 Simplifying x = 21
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