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Simplifying 5x + -2(3x + -5) = 2x + 6 Reorder the terms: 5x + -2(-5 + 3x) = 2x + 6 5x + (-5 * -2 + 3x * -2) = 2x + 6 5x + (10 + -6x) = 2x + 6 Reorder the terms: 10 + 5x + -6x = 2x + 6 Combine like terms: 5x + -6x = -1x 10 + -1x = 2x + 6 Reorder the terms: 10 + -1x = 6 + 2x Solving 10 + -1x = 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 + -1x + -2x = 6 + 2x + -2x Combine like terms: -1x + -2x = -3x 10 + -3x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + -3x = 6 + 0 10 + -3x = 6 Add '-10' to each side of the equation. 10 + -10 + -3x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 6 + -10 -3x = 6 + -10 Combine like terms: 6 + -10 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333
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