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Simplifying 2(x + -2) + 52 = -4x Reorder the terms: 2(-2 + x) + 52 = -4x (-2 * 2 + x * 2) + 52 = -4x (-4 + 2x) + 52 = -4x Reorder the terms: -4 + 52 + 2x = -4x Combine like terms: -4 + 52 = 48 48 + 2x = -4x Solving 48 + 2x = -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. 48 + 2x + 4x = -4x + 4x Combine like terms: 2x + 4x = 6x 48 + 6x = -4x + 4x Combine like terms: -4x + 4x = 0 48 + 6x = 0 Add '-48' to each side of the equation. 48 + -48 + 6x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 6x = 0 + -48 6x = 0 + -48 Combine like terms: 0 + -48 = -48 6x = -48 Divide each side by '6'. x = -8 Simplifying x = -8
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