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Simplifying 7(x + 5) = -0.75(8x + 40) Reorder the terms: 7(5 + x) = -0.75(8x + 40) (5 * 7 + x * 7) = -0.75(8x + 40) (35 + 7x) = -0.75(8x + 40) Reorder the terms: 35 + 7x = -0.75(40 + 8x) 35 + 7x = (40 * -0.75 + 8x * -0.75) 35 + 7x = (-30 + -6x) Solving 35 + 7x = -30 + -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. 35 + 7x + 6x = -30 + -6x + 6x Combine like terms: 7x + 6x = 13x 35 + 13x = -30 + -6x + 6x Combine like terms: -6x + 6x = 0 35 + 13x = -30 + 0 35 + 13x = -30 Add '-35' to each side of the equation. 35 + -35 + 13x = -30 + -35 Combine like terms: 35 + -35 = 0 0 + 13x = -30 + -35 13x = -30 + -35 Combine like terms: -30 + -35 = -65 13x = -65 Divide each side by '13'. x = -5 Simplifying x = -5
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