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Simplifying 8x + 7 + -2x + 5 = 4x + 12 + -1x + 30 Reorder the terms: 7 + 5 + 8x + -2x = 4x + 12 + -1x + 30 Combine like terms: 7 + 5 = 12 12 + 8x + -2x = 4x + 12 + -1x + 30 Combine like terms: 8x + -2x = 6x 12 + 6x = 4x + 12 + -1x + 30 Reorder the terms: 12 + 6x = 12 + 30 + 4x + -1x Combine like terms: 12 + 30 = 42 12 + 6x = 42 + 4x + -1x Combine like terms: 4x + -1x = 3x 12 + 6x = 42 + 3x Solving 12 + 6x = 42 + 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. 12 + 6x + -3x = 42 + 3x + -3x Combine like terms: 6x + -3x = 3x 12 + 3x = 42 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 3x = 42 + 0 12 + 3x = 42 Add '-12' to each side of the equation. 12 + -12 + 3x = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 42 + -12 3x = 42 + -12 Combine like terms: 42 + -12 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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