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Simplifying 10 = 6(x + -5) + -5x Reorder the terms: 10 = 6(-5 + x) + -5x 10 = (-5 * 6 + x * 6) + -5x 10 = (-30 + 6x) + -5x Combine like terms: 6x + -5x = 1x 10 = -30 + 1x Solving 10 = -30 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 10 + -1x = -30 + 1x + -1x Combine like terms: 1x + -1x = 0 10 + -1x = -30 + 0 10 + -1x = -30 Add '-10' to each side of the equation. 10 + -10 + -1x = -30 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = -30 + -10 -1x = -30 + -10 Combine like terms: -30 + -10 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40
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