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Simplifying 5x + -2(2 + -3x) = 4(x + -4) + -2 5x + (2 * -2 + -3x * -2) = 4(x + -4) + -2 5x + (-4 + 6x) = 4(x + -4) + -2 Reorder the terms: -4 + 5x + 6x = 4(x + -4) + -2 Combine like terms: 5x + 6x = 11x -4 + 11x = 4(x + -4) + -2 Reorder the terms: -4 + 11x = 4(-4 + x) + -2 -4 + 11x = (-4 * 4 + x * 4) + -2 -4 + 11x = (-16 + 4x) + -2 Reorder the terms: -4 + 11x = -16 + -2 + 4x Combine like terms: -16 + -2 = -18 -4 + 11x = -18 + 4x Solving -4 + 11x = -18 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4 + 11x + -4x = -18 + 4x + -4x Combine like terms: 11x + -4x = 7x -4 + 7x = -18 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 7x = -18 + 0 -4 + 7x = -18 Add '4' to each side of the equation. -4 + 4 + 7x = -18 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = -18 + 4 7x = -18 + 4 Combine like terms: -18 + 4 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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