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Simplifying -10(4x + 5) = -6(8x + 7) Reorder the terms: -10(5 + 4x) = -6(8x + 7) (5 * -10 + 4x * -10) = -6(8x + 7) (-50 + -40x) = -6(8x + 7) Reorder the terms: -50 + -40x = -6(7 + 8x) -50 + -40x = (7 * -6 + 8x * -6) -50 + -40x = (-42 + -48x) Solving -50 + -40x = -42 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. -50 + -40x + 48x = -42 + -48x + 48x Combine like terms: -40x + 48x = 8x -50 + 8x = -42 + -48x + 48x Combine like terms: -48x + 48x = 0 -50 + 8x = -42 + 0 -50 + 8x = -42 Add '50' to each side of the equation. -50 + 50 + 8x = -42 + 50 Combine like terms: -50 + 50 = 0 0 + 8x = -42 + 50 8x = -42 + 50 Combine like terms: -42 + 50 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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