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Simplifying 4(x + -1) + 52 = -2x Reorder the terms: 4(-1 + x) + 52 = -2x (-1 * 4 + x * 4) + 52 = -2x (-4 + 4x) + 52 = -2x Reorder the terms: -4 + 52 + 4x = -2x Combine like terms: -4 + 52 = 48 48 + 4x = -2x Solving 48 + 4x = -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. 48 + 4x + 2x = -2x + 2x Combine like terms: 4x + 2x = 6x 48 + 6x = -2x + 2x Combine like terms: -2x + 2x = 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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