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Simplifying 4x + 2(x + -2) = 5x + -21 + 2x Reorder the terms: 4x + 2(-2 + x) = 5x + -21 + 2x 4x + (-2 * 2 + x * 2) = 5x + -21 + 2x 4x + (-4 + 2x) = 5x + -21 + 2x Reorder the terms: -4 + 4x + 2x = 5x + -21 + 2x Combine like terms: 4x + 2x = 6x -4 + 6x = 5x + -21 + 2x Reorder the terms: -4 + 6x = -21 + 5x + 2x Combine like terms: 5x + 2x = 7x -4 + 6x = -21 + 7x Solving -4 + 6x = -21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -4 + 6x + -7x = -21 + 7x + -7x Combine like terms: 6x + -7x = -1x -4 + -1x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -1x = -21 + 0 -4 + -1x = -21 Add '4' to each side of the equation. -4 + 4 + -1x = -21 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -21 + 4 -1x = -21 + 4 Combine like terms: -21 + 4 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17
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