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Simplifying 8x + 12 + -4x + -7 = x + 30 + x + -1 Reorder the terms: 12 + -7 + 8x + -4x = x + 30 + x + -1 Combine like terms: 12 + -7 = 5 5 + 8x + -4x = x + 30 + x + -1 Combine like terms: 8x + -4x = 4x 5 + 4x = x + 30 + x + -1 Reorder the terms: 5 + 4x = 30 + -1 + x + x Combine like terms: 30 + -1 = 29 5 + 4x = 29 + x + x Combine like terms: x + x = 2x 5 + 4x = 29 + 2x Solving 5 + 4x = 29 + 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. 5 + 4x + -2x = 29 + 2x + -2x Combine like terms: 4x + -2x = 2x 5 + 2x = 29 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 2x = 29 + 0 5 + 2x = 29 Add '-5' to each side of the equation. 5 + -5 + 2x = 29 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 29 + -5 2x = 29 + -5 Combine like terms: 29 + -5 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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