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Simplifying -4(x + -6) = 3x + -46 Reorder the terms: -4(-6 + x) = 3x + -46 (-6 * -4 + x * -4) = 3x + -46 (24 + -4x) = 3x + -46 Reorder the terms: 24 + -4x = -46 + 3x Solving 24 + -4x = -46 + 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. 24 + -4x + -3x = -46 + 3x + -3x Combine like terms: -4x + -3x = -7x 24 + -7x = -46 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + -7x = -46 + 0 24 + -7x = -46 Add '-24' to each side of the equation. 24 + -24 + -7x = -46 + -24 Combine like terms: 24 + -24 = 0 0 + -7x = -46 + -24 -7x = -46 + -24 Combine like terms: -46 + -24 = -70 -7x = -70 Divide each side by '-7'. x = 10 Simplifying x = 10
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