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Simplifying 3(30 + -1x) = 3(x + -10) (30 * 3 + -1x * 3) = 3(x + -10) (90 + -3x) = 3(x + -10) Reorder the terms: 90 + -3x = 3(-10 + x) 90 + -3x = (-10 * 3 + x * 3) 90 + -3x = (-30 + 3x) Solving 90 + -3x = -30 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 90 + -3x + -3x = -30 + 3x + -3x Combine like terms: -3x + -3x = -6x 90 + -6x = -30 + 3x + -3x Combine like terms: 3x + -3x = 0 90 + -6x = -30 + 0 90 + -6x = -30 Add '-90' to each side of the equation. 90 + -90 + -6x = -30 + -90 Combine like terms: 90 + -90 = 0 0 + -6x = -30 + -90 -6x = -30 + -90 Combine like terms: -30 + -90 = -120 -6x = -120 Divide each side by '-6'. x = 20 Simplifying x = 20
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