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Simplifying 4(x + -4) + 52 = -2x Reorder the terms: 4(-4 + x) + 52 = -2x (-4 * 4 + x * 4) + 52 = -2x (-16 + 4x) + 52 = -2x Reorder the terms: -16 + 52 + 4x = -2x Combine like terms: -16 + 52 = 36 36 + 4x = -2x Solving 36 + 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. 36 + 4x + 2x = -2x + 2x Combine like terms: 4x + 2x = 6x 36 + 6x = -2x + 2x Combine like terms: -2x + 2x = 0 36 + 6x = 0 Add '-36' to each side of the equation. 36 + -36 + 6x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 6x = 0 + -36 6x = 0 + -36 Combine like terms: 0 + -36 = -36 6x = -36 Divide each side by '6'. x = -6 Simplifying x = -6
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