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Simplifying -10(x + 7) = -46 + -6x Reorder the terms: -10(7 + x) = -46 + -6x (7 * -10 + x * -10) = -46 + -6x (-70 + -10x) = -46 + -6x Solving -70 + -10x = -46 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -70 + -10x + 6x = -46 + -6x + 6x Combine like terms: -10x + 6x = -4x -70 + -4x = -46 + -6x + 6x Combine like terms: -6x + 6x = 0 -70 + -4x = -46 + 0 -70 + -4x = -46 Add '70' to each side of the equation. -70 + 70 + -4x = -46 + 70 Combine like terms: -70 + 70 = 0 0 + -4x = -46 + 70 -4x = -46 + 70 Combine like terms: -46 + 70 = 24 -4x = 24 Divide each side by '-4'. x = -6 Simplifying x = -6
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