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Simplifying 8 + -1(3x + -2) = -5(x + -3) + -1(4x + -3) Reorder the terms: 8 + -1(-2 + 3x) = -5(x + -3) + -1(4x + -3) 8 + (-2 * -1 + 3x * -1) = -5(x + -3) + -1(4x + -3) 8 + (2 + -3x) = -5(x + -3) + -1(4x + -3) Combine like terms: 8 + 2 = 10 10 + -3x = -5(x + -3) + -1(4x + -3) Reorder the terms: 10 + -3x = -5(-3 + x) + -1(4x + -3) 10 + -3x = (-3 * -5 + x * -5) + -1(4x + -3) 10 + -3x = (15 + -5x) + -1(4x + -3) Reorder the terms: 10 + -3x = 15 + -5x + -1(-3 + 4x) 10 + -3x = 15 + -5x + (-3 * -1 + 4x * -1) 10 + -3x = 15 + -5x + (3 + -4x) Reorder the terms: 10 + -3x = 15 + 3 + -5x + -4x Combine like terms: 15 + 3 = 18 10 + -3x = 18 + -5x + -4x Combine like terms: -5x + -4x = -9x 10 + -3x = 18 + -9x Solving 10 + -3x = 18 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 10 + -3x + 9x = 18 + -9x + 9x Combine like terms: -3x + 9x = 6x 10 + 6x = 18 + -9x + 9x Combine like terms: -9x + 9x = 0 10 + 6x = 18 + 0 10 + 6x = 18 Add '-10' to each side of the equation. 10 + -10 + 6x = 18 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = 18 + -10 6x = 18 + -10 Combine like terms: 18 + -10 = 8 6x = 8 Divide each side by '6'. x = 1.333333333 Simplifying x = 1.333333333
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