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Simplifying 4x + 10 = -46 + -4x Reorder the terms: 10 + 4x = -46 + -4x Solving 10 + 4x = -46 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 10 + 4x + 4x = -46 + -4x + 4x Combine like terms: 4x + 4x = 8x 10 + 8x = -46 + -4x + 4x Combine like terms: -4x + 4x = 0 10 + 8x = -46 + 0 10 + 8x = -46 Add '-10' to each side of the equation. 10 + -10 + 8x = -46 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = -46 + -10 8x = -46 + -10 Combine like terms: -46 + -10 = -56 8x = -56 Divide each side by '8'. x = -7 Simplifying x = -7
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