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Simplifying 6(x + -1) + 46 = -2x Reorder the terms: 6(-1 + x) + 46 = -2x (-1 * 6 + x * 6) + 46 = -2x (-6 + 6x) + 46 = -2x Reorder the terms: -6 + 46 + 6x = -2x Combine like terms: -6 + 46 = 40 40 + 6x = -2x Solving 40 + 6x = -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 + 6x + 2x = -2x + 2x Combine like terms: 6x + 2x = 8x 40 + 8x = -2x + 2x Combine like terms: -2x + 2x = 0 40 + 8x = 0 Add '-40' to each side of the equation. 40 + -40 + 8x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 8x = 0 + -40 8x = 0 + -40 Combine like terms: 0 + -40 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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