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Simplifying 30x + -10 + -1(4x + -5) + -1(2x + 7) = x Reorder the terms: 30x + -10 + -1(-5 + 4x) + -1(2x + 7) = x 30x + -10 + (-5 * -1 + 4x * -1) + -1(2x + 7) = x 30x + -10 + (5 + -4x) + -1(2x + 7) = x Reorder the terms: 30x + -10 + 5 + -4x + -1(7 + 2x) = x 30x + -10 + 5 + -4x + (7 * -1 + 2x * -1) = x 30x + -10 + 5 + -4x + (-7 + -2x) = x Reorder the terms: -10 + 5 + -7 + 30x + -4x + -2x = x Combine like terms: -10 + 5 = -5 -5 + -7 + 30x + -4x + -2x = x Combine like terms: -5 + -7 = -12 -12 + 30x + -4x + -2x = x Combine like terms: 30x + -4x = 26x -12 + 26x + -2x = x Combine like terms: 26x + -2x = 24x -12 + 24x = x Solving -12 + 24x = x 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. -12 + 24x + -1x = x + -1x Combine like terms: 24x + -1x = 23x -12 + 23x = x + -1x Combine like terms: x + -1x = 0 -12 + 23x = 0 Add '12' to each side of the equation. -12 + 12 + 23x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 23x = 0 + 12 23x = 0 + 12 Combine like terms: 0 + 12 = 12 23x = 12 Divide each side by '23'. x = 0.5217391304 Simplifying x = 0.5217391304
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