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Simplifying 0.75[6x + 10] = (13x + -35) Reorder the terms: 0.75[10 + 6x] = (13x + -35) [10 * 0.75 + 6x * 0.75] = (13x + -35) [7.5 + 4.5x] = (13x + -35) Reorder the terms: 7.5 + 4.5x = (-35 + 13x) Remove parenthesis around (-35 + 13x) 7.5 + 4.5x = -35 + 13x Solving 7.5 + 4.5x = -35 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 7.5 + 4.5x + -13x = -35 + 13x + -13x Combine like terms: 4.5x + -13x = -8.5x 7.5 + -8.5x = -35 + 13x + -13x Combine like terms: 13x + -13x = 0 7.5 + -8.5x = -35 + 0 7.5 + -8.5x = -35 Add '-7.5' to each side of the equation. 7.5 + -7.5 + -8.5x = -35 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -8.5x = -35 + -7.5 -8.5x = -35 + -7.5 Combine like terms: -35 + -7.5 = -42.5 -8.5x = -42.5 Divide each side by '-8.5'. x = 5 Simplifying x = 5
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