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Simplifying 5x + -1(x + -10) = 3x + -1(5x + -6) Reorder the terms: 5x + -1(-10 + x) = 3x + -1(5x + -6) 5x + (-10 * -1 + x * -1) = 3x + -1(5x + -6) 5x + (10 + -1x) = 3x + -1(5x + -6) Reorder the terms: 10 + 5x + -1x = 3x + -1(5x + -6) Combine like terms: 5x + -1x = 4x 10 + 4x = 3x + -1(5x + -6) Reorder the terms: 10 + 4x = 3x + -1(-6 + 5x) 10 + 4x = 3x + (-6 * -1 + 5x * -1) 10 + 4x = 3x + (6 + -5x) Reorder the terms: 10 + 4x = 6 + 3x + -5x Combine like terms: 3x + -5x = -2x 10 + 4x = 6 + -2x Solving 10 + 4x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 10 + 4x + 2x = 6 + -2x + 2x Combine like terms: 4x + 2x = 6x 10 + 6x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 6x = 6 + 0 10 + 6x = 6 Add '-10' to each side of the equation. 10 + -10 + 6x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = 6 + -10 6x = 6 + -10 Combine like terms: 6 + -10 = -4 6x = -4 Divide each side by '6'. x = -0.6666666667 Simplifying x = -0.6666666667
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