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Simplifying 3(x + -4) + 52 = -2x Reorder the terms: 3(-4 + x) + 52 = -2x (-4 * 3 + x * 3) + 52 = -2x (-12 + 3x) + 52 = -2x Reorder the terms: -12 + 52 + 3x = -2x Combine like terms: -12 + 52 = 40 40 + 3x = -2x Solving 40 + 3x = -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. 40 + 3x + 2x = -2x + 2x Combine like terms: 3x + 2x = 5x 40 + 5x = -2x + 2x Combine like terms: -2x + 2x = 0 40 + 5x = 0 Add '-40' to each side of the equation. 40 + -40 + 5x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 5x = 0 + -40 5x = 0 + -40 Combine like terms: 0 + -40 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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