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Simplifying 3(2x + -7) + -8 = 7x + -2(8x + -1(3x + -4)) Reorder the terms: 3(-7 + 2x) + -8 = 7x + -2(8x + -1(3x + -4)) (-7 * 3 + 2x * 3) + -8 = 7x + -2(8x + -1(3x + -4)) (-21 + 6x) + -8 = 7x + -2(8x + -1(3x + -4)) Reorder the terms: -21 + -8 + 6x = 7x + -2(8x + -1(3x + -4)) Combine like terms: -21 + -8 = -29 -29 + 6x = 7x + -2(8x + -1(3x + -4)) Reorder the terms: -29 + 6x = 7x + -2(8x + -1(-4 + 3x)) -29 + 6x = 7x + -2(8x + (-4 * -1 + 3x * -1)) -29 + 6x = 7x + -2(8x + (4 + -3x)) Reorder the terms: -29 + 6x = 7x + -2(4 + 8x + -3x) Combine like terms: 8x + -3x = 5x -29 + 6x = 7x + -2(4 + 5x) -29 + 6x = 7x + (4 * -2 + 5x * -2) -29 + 6x = 7x + (-8 + -10x) Reorder the terms: -29 + 6x = -8 + 7x + -10x Combine like terms: 7x + -10x = -3x -29 + 6x = -8 + -3x Solving -29 + 6x = -8 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -29 + 6x + 3x = -8 + -3x + 3x Combine like terms: 6x + 3x = 9x -29 + 9x = -8 + -3x + 3x Combine like terms: -3x + 3x = 0 -29 + 9x = -8 + 0 -29 + 9x = -8 Add '29' to each side of the equation. -29 + 29 + 9x = -8 + 29 Combine like terms: -29 + 29 = 0 0 + 9x = -8 + 29 9x = -8 + 29 Combine like terms: -8 + 29 = 21 9x = 21 Divide each side by '9'. x = 2.333333333 Simplifying x = 2.333333333
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