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Simplifying 3(x + -4) + 42 = -3x Reorder the terms: 3(-4 + x) + 42 = -3x (-4 * 3 + x * 3) + 42 = -3x (-12 + 3x) + 42 = -3x Reorder the terms: -12 + 42 + 3x = -3x Combine like terms: -12 + 42 = 30 30 + 3x = -3x Solving 30 + 3x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 30 + 3x + 3x = -3x + 3x Combine like terms: 3x + 3x = 6x 30 + 6x = -3x + 3x Combine like terms: -3x + 3x = 0 30 + 6x = 0 Add '-30' to each side of the equation. 30 + -30 + 6x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 6x = 0 + -30 6x = 0 + -30 Combine like terms: 0 + -30 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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