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Simplifying 4x + -1(7x + -10) = 2x + -30 Reorder the terms: 4x + -1(-10 + 7x) = 2x + -30 4x + (-10 * -1 + 7x * -1) = 2x + -30 4x + (10 + -7x) = 2x + -30 Reorder the terms: 10 + 4x + -7x = 2x + -30 Combine like terms: 4x + -7x = -3x 10 + -3x = 2x + -30 Reorder the terms: 10 + -3x = -30 + 2x Solving 10 + -3x = -30 + 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 + -3x + -2x = -30 + 2x + -2x Combine like terms: -3x + -2x = -5x 10 + -5x = -30 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + -5x = -30 + 0 10 + -5x = -30 Add '-10' to each side of the equation. 10 + -10 + -5x = -30 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = -30 + -10 -5x = -30 + -10 Combine like terms: -30 + -10 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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