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Simplifying 4(x + -2) + -5 = -21 + 2x Reorder the terms: 4(-2 + x) + -5 = -21 + 2x (-2 * 4 + x * 4) + -5 = -21 + 2x (-8 + 4x) + -5 = -21 + 2x Reorder the terms: -8 + -5 + 4x = -21 + 2x Combine like terms: -8 + -5 = -13 -13 + 4x = -21 + 2x Solving -13 + 4x = -21 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -13 + 4x + -2x = -21 + 2x + -2x Combine like terms: 4x + -2x = 2x -13 + 2x = -21 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + 2x = -21 + 0 -13 + 2x = -21 Add '13' to each side of the equation. -13 + 13 + 2x = -21 + 13 Combine like terms: -13 + 13 = 0 0 + 2x = -21 + 13 2x = -21 + 13 Combine like terms: -21 + 13 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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