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Simplifying 3(x + -4) + 47 = -2x Reorder the terms: 3(-4 + x) + 47 = -2x (-4 * 3 + x * 3) + 47 = -2x (-12 + 3x) + 47 = -2x Reorder the terms: -12 + 47 + 3x = -2x Combine like terms: -12 + 47 = 35 35 + 3x = -2x Solving 35 + 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. 35 + 3x + 2x = -2x + 2x Combine like terms: 3x + 2x = 5x 35 + 5x = -2x + 2x Combine like terms: -2x + 2x = 0 35 + 5x = 0 Add '-35' to each side of the equation. 35 + -35 + 5x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 5x = 0 + -35 5x = 0 + -35 Combine like terms: 0 + -35 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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