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Simplifying 4x + -4(-1x + 5) = x + -1(-2x) + -3 + -4x + 10 Reorder the terms: 4x + -4(5 + -1x) = x + -1(-2x) + -3 + -4x + 10 4x + (5 * -4 + -1x * -4) = x + -1(-2x) + -3 + -4x + 10 4x + (-20 + 4x) = x + -1(-2x) + -3 + -4x + 10 Reorder the terms: -20 + 4x + 4x = x + -1(-2x) + -3 + -4x + 10 Combine like terms: 4x + 4x = 8x -20 + 8x = x + -1(-2x) + -3 + -4x + 10 Remove parenthesis around (-2x) -20 + 8x = x + -1 * -2x + -3 + -4x + 10 Multiply -1 * -2 -20 + 8x = x + 2x + -3 + -4x + 10 Reorder the terms: -20 + 8x = -3 + 10 + x + 2x + -4x Combine like terms: -3 + 10 = 7 -20 + 8x = 7 + x + 2x + -4x Combine like terms: x + 2x = 3x -20 + 8x = 7 + 3x + -4x Combine like terms: 3x + -4x = -1x -20 + 8x = 7 + -1x Solving -20 + 8x = 7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -20 + 8x + x = 7 + -1x + x Combine like terms: 8x + x = 9x -20 + 9x = 7 + -1x + x Combine like terms: -1x + x = 0 -20 + 9x = 7 + 0 -20 + 9x = 7 Add '20' to each side of the equation. -20 + 20 + 9x = 7 + 20 Combine like terms: -20 + 20 = 0 0 + 9x = 7 + 20 9x = 7 + 20 Combine like terms: 7 + 20 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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