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Simplifying 1(10 + -2x) = 6(x + -5) (10 * 1 + -2x * 1) = 6(x + -5) (10 + -2x) = 6(x + -5) Reorder the terms: 10 + -2x = 6(-5 + x) 10 + -2x = (-5 * 6 + x * 6) 10 + -2x = (-30 + 6x) Solving 10 + -2x = -30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10 + -2x + -6x = -30 + 6x + -6x Combine like terms: -2x + -6x = -8x 10 + -8x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -8x = -30 + 0 10 + -8x = -30 Add '-10' to each side of the equation. 10 + -10 + -8x = -30 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = -30 + -10 -8x = -30 + -10 Combine like terms: -30 + -10 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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