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Simplifying -4(6x + -7) + -5x + 8 = -3(-2x + 8) + -9 Reorder the terms: -4(-7 + 6x) + -5x + 8 = -3(-2x + 8) + -9 (-7 * -4 + 6x * -4) + -5x + 8 = -3(-2x + 8) + -9 (28 + -24x) + -5x + 8 = -3(-2x + 8) + -9 Reorder the terms: 28 + 8 + -24x + -5x = -3(-2x + 8) + -9 Combine like terms: 28 + 8 = 36 36 + -24x + -5x = -3(-2x + 8) + -9 Combine like terms: -24x + -5x = -29x 36 + -29x = -3(-2x + 8) + -9 Reorder the terms: 36 + -29x = -3(8 + -2x) + -9 36 + -29x = (8 * -3 + -2x * -3) + -9 36 + -29x = (-24 + 6x) + -9 Reorder the terms: 36 + -29x = -24 + -9 + 6x Combine like terms: -24 + -9 = -33 36 + -29x = -33 + 6x Solving 36 + -29x = -33 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 36 + -29x + -6x = -33 + 6x + -6x Combine like terms: -29x + -6x = -35x 36 + -35x = -33 + 6x + -6x Combine like terms: 6x + -6x = 0 36 + -35x = -33 + 0 36 + -35x = -33 Add '-36' to each side of the equation. 36 + -36 + -35x = -33 + -36 Combine like terms: 36 + -36 = 0 0 + -35x = -33 + -36 -35x = -33 + -36 Combine like terms: -33 + -36 = -69 -35x = -69 Divide each side by '-35'. x = 1.971428571 Simplifying x = 1.971428571
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