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Simplifying 5 + -2(x + -4) = 3 + 4(2 + -3x) + x Reorder the terms: 5 + -2(-4 + x) = 3 + 4(2 + -3x) + x 5 + (-4 * -2 + x * -2) = 3 + 4(2 + -3x) + x 5 + (8 + -2x) = 3 + 4(2 + -3x) + x Combine like terms: 5 + 8 = 13 13 + -2x = 3 + 4(2 + -3x) + x 13 + -2x = 3 + (2 * 4 + -3x * 4) + x 13 + -2x = 3 + (8 + -12x) + x Combine like terms: 3 + 8 = 11 13 + -2x = 11 + -12x + x Combine like terms: -12x + x = -11x 13 + -2x = 11 + -11x Solving 13 + -2x = 11 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 13 + -2x + 11x = 11 + -11x + 11x Combine like terms: -2x + 11x = 9x 13 + 9x = 11 + -11x + 11x Combine like terms: -11x + 11x = 0 13 + 9x = 11 + 0 13 + 9x = 11 Add '-13' to each side of the equation. 13 + -13 + 9x = 11 + -13 Combine like terms: 13 + -13 = 0 0 + 9x = 11 + -13 9x = 11 + -13 Combine like terms: 11 + -13 = -2 9x = -2 Divide each side by '9'. x = -0.2222222222 Simplifying x = -0.2222222222
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