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Simplifying 3(2x + -7) + -8 = 5x + -7(x + 2) Reorder the terms: 3(-7 + 2x) + -8 = 5x + -7(x + 2) (-7 * 3 + 2x * 3) + -8 = 5x + -7(x + 2) (-21 + 6x) + -8 = 5x + -7(x + 2) Reorder the terms: -21 + -8 + 6x = 5x + -7(x + 2) Combine like terms: -21 + -8 = -29 -29 + 6x = 5x + -7(x + 2) Reorder the terms: -29 + 6x = 5x + -7(2 + x) -29 + 6x = 5x + (2 * -7 + x * -7) -29 + 6x = 5x + (-14 + -7x) Reorder the terms: -29 + 6x = -14 + 5x + -7x Combine like terms: 5x + -7x = -2x -29 + 6x = -14 + -2x Solving -29 + 6x = -14 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -29 + 6x + 2x = -14 + -2x + 2x Combine like terms: 6x + 2x = 8x -29 + 8x = -14 + -2x + 2x Combine like terms: -2x + 2x = 0 -29 + 8x = -14 + 0 -29 + 8x = -14 Add '29' to each side of the equation. -29 + 29 + 8x = -14 + 29 Combine like terms: -29 + 29 = 0 0 + 8x = -14 + 29 8x = -14 + 29 Combine like terms: -14 + 29 = 15 8x = 15 Divide each side by '8'. x = 1.875 Simplifying x = 1.875
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