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Simplifying 4(5 + -1x) + -1(x + 2) * 4 = 10 + -9x (5 * 4 + -1x * 4) + -1(x + 2) * 4 = 10 + -9x (20 + -4x) + -1(x + 2) * 4 = 10 + -9x Reorder the terms: 20 + -4x + -1(2 + x) * 4 = 10 + -9x Reorder the terms for easier multiplication: 20 + -4x + -1 * 4(2 + x) = 10 + -9x Multiply -1 * 4 20 + -4x + -4(2 + x) = 10 + -9x 20 + -4x + (2 * -4 + x * -4) = 10 + -9x 20 + -4x + (-8 + -4x) = 10 + -9x Reorder the terms: 20 + -8 + -4x + -4x = 10 + -9x Combine like terms: 20 + -8 = 12 12 + -4x + -4x = 10 + -9x Combine like terms: -4x + -4x = -8x 12 + -8x = 10 + -9x Solving 12 + -8x = 10 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 12 + -8x + 9x = 10 + -9x + 9x Combine like terms: -8x + 9x = 1x 12 + 1x = 10 + -9x + 9x Combine like terms: -9x + 9x = 0 12 + 1x = 10 + 0 12 + 1x = 10 Add '-12' to each side of the equation. 12 + -12 + 1x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 10 + -12 1x = 10 + -12 Combine like terms: 10 + -12 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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