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Simplifying 0.75(8x + -12) + 5x = 7 + -1(x + -30) Reorder the terms: 0.75(-12 + 8x) + 5x = 7 + -1(x + -30) (-12 * 0.75 + 8x * 0.75) + 5x = 7 + -1(x + -30) (-9 + 6x) + 5x = 7 + -1(x + -30) Combine like terms: 6x + 5x = 11x -9 + 11x = 7 + -1(x + -30) Reorder the terms: -9 + 11x = 7 + -1(-30 + x) -9 + 11x = 7 + (-30 * -1 + x * -1) -9 + 11x = 7 + (30 + -1x) Combine like terms: 7 + 30 = 37 -9 + 11x = 37 + -1x Solving -9 + 11x = 37 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -9 + 11x + x = 37 + -1x + x Combine like terms: 11x + x = 12x -9 + 12x = 37 + -1x + x Combine like terms: -1x + x = 0 -9 + 12x = 37 + 0 -9 + 12x = 37 Add '9' to each side of the equation. -9 + 9 + 12x = 37 + 9 Combine like terms: -9 + 9 = 0 0 + 12x = 37 + 9 12x = 37 + 9 Combine like terms: 37 + 9 = 46 12x = 46 Divide each side by '12'. x = 3.833333333 Simplifying x = 3.833333333
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