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Simplifying 4(x + -1) + 46 = -3x Reorder the terms: 4(-1 + x) + 46 = -3x (-1 * 4 + x * 4) + 46 = -3x (-4 + 4x) + 46 = -3x Reorder the terms: -4 + 46 + 4x = -3x Combine like terms: -4 + 46 = 42 42 + 4x = -3x Solving 42 + 4x = -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. 42 + 4x + 3x = -3x + 3x Combine like terms: 4x + 3x = 7x 42 + 7x = -3x + 3x Combine like terms: -3x + 3x = 0 42 + 7x = 0 Add '-42' to each side of the equation. 42 + -42 + 7x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 7x = 0 + -42 7x = 0 + -42 Combine like terms: 0 + -42 = -42 7x = -42 Divide each side by '7'. x = -6 Simplifying x = -6
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