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Simplifying -8(3x + 1) = 8x + -7(6x + 5) Reorder the terms: -8(1 + 3x) = 8x + -7(6x + 5) (1 * -8 + 3x * -8) = 8x + -7(6x + 5) (-8 + -24x) = 8x + -7(6x + 5) Reorder the terms: -8 + -24x = 8x + -7(5 + 6x) -8 + -24x = 8x + (5 * -7 + 6x * -7) -8 + -24x = 8x + (-35 + -42x) Reorder the terms: -8 + -24x = -35 + 8x + -42x Combine like terms: 8x + -42x = -34x -8 + -24x = -35 + -34x Solving -8 + -24x = -35 + -34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34x' to each side of the equation. -8 + -24x + 34x = -35 + -34x + 34x Combine like terms: -24x + 34x = 10x -8 + 10x = -35 + -34x + 34x Combine like terms: -34x + 34x = 0 -8 + 10x = -35 + 0 -8 + 10x = -35 Add '8' to each side of the equation. -8 + 8 + 10x = -35 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = -35 + 8 10x = -35 + 8 Combine like terms: -35 + 8 = -27 10x = -27 Divide each side by '10'. x = -2.7 Simplifying x = -2.7
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