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Simplifying 0 = 3(x + -1) + 7 + 5(x + -2) Reorder the terms: 0 = 3(-1 + x) + 7 + 5(x + -2) 0 = (-1 * 3 + x * 3) + 7 + 5(x + -2) 0 = (-3 + 3x) + 7 + 5(x + -2) Reorder the terms: 0 = -3 + 3x + 7 + 5(-2 + x) 0 = -3 + 3x + 7 + (-2 * 5 + x * 5) 0 = -3 + 3x + 7 + (-10 + 5x) Reorder the terms: 0 = -3 + 7 + -10 + 3x + 5x Combine like terms: -3 + 7 = 4 0 = 4 + -10 + 3x + 5x Combine like terms: 4 + -10 = -6 0 = -6 + 3x + 5x Combine like terms: 3x + 5x = 8x 0 = -6 + 8x Solving 0 = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 0 + -8x = -6 + 8x + -8x Remove the zero: -8x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 -8x = -6 + 0 -8x = -6 Divide each side by '-8'. x = 0.75 Simplifying x = 0.75
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