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Simplifying -2(5x + -1) + 3(2x + 9) = 6x + -11 + -2x + -17 Reorder the terms: -2(-1 + 5x) + 3(2x + 9) = 6x + -11 + -2x + -17 (-1 * -2 + 5x * -2) + 3(2x + 9) = 6x + -11 + -2x + -17 (2 + -10x) + 3(2x + 9) = 6x + -11 + -2x + -17 Reorder the terms: 2 + -10x + 3(9 + 2x) = 6x + -11 + -2x + -17 2 + -10x + (9 * 3 + 2x * 3) = 6x + -11 + -2x + -17 2 + -10x + (27 + 6x) = 6x + -11 + -2x + -17 Reorder the terms: 2 + 27 + -10x + 6x = 6x + -11 + -2x + -17 Combine like terms: 2 + 27 = 29 29 + -10x + 6x = 6x + -11 + -2x + -17 Combine like terms: -10x + 6x = -4x 29 + -4x = 6x + -11 + -2x + -17 Reorder the terms: 29 + -4x = -11 + -17 + 6x + -2x Combine like terms: -11 + -17 = -28 29 + -4x = -28 + 6x + -2x Combine like terms: 6x + -2x = 4x 29 + -4x = -28 + 4x Solving 29 + -4x = -28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 29 + -4x + -4x = -28 + 4x + -4x Combine like terms: -4x + -4x = -8x 29 + -8x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 29 + -8x = -28 + 0 29 + -8x = -28 Add '-29' to each side of the equation. 29 + -29 + -8x = -28 + -29 Combine like terms: 29 + -29 = 0 0 + -8x = -28 + -29 -8x = -28 + -29 Combine like terms: -28 + -29 = -57 -8x = -57 Divide each side by '-8'. x = 7.125 Simplifying x = 7.125
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