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Simplifying 4x + -12 + -8x + 48 = 7x + -42 + 34 Reorder the terms: -12 + 48 + 4x + -8x = 7x + -42 + 34 Combine like terms: -12 + 48 = 36 36 + 4x + -8x = 7x + -42 + 34 Combine like terms: 4x + -8x = -4x 36 + -4x = 7x + -42 + 34 Reorder the terms: 36 + -4x = -42 + 34 + 7x Combine like terms: -42 + 34 = -8 36 + -4x = -8 + 7x Solving 36 + -4x = -8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 36 + -4x + -7x = -8 + 7x + -7x Combine like terms: -4x + -7x = -11x 36 + -11x = -8 + 7x + -7x Combine like terms: 7x + -7x = 0 36 + -11x = -8 + 0 36 + -11x = -8 Add '-36' to each side of the equation. 36 + -36 + -11x = -8 + -36 Combine like terms: 36 + -36 = 0 0 + -11x = -8 + -36 -11x = -8 + -36 Combine like terms: -8 + -36 = -44 -11x = -44 Divide each side by '-11'. x = 4 Simplifying x = 4
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