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Simplifying 8x + 7 + -1x + 5 = 4x + 12 + -1(x + -30) Reorder the terms: 7 + 5 + 8x + -1x = 4x + 12 + -1(x + -30) Combine like terms: 7 + 5 = 12 12 + 8x + -1x = 4x + 12 + -1(x + -30) Combine like terms: 8x + -1x = 7x 12 + 7x = 4x + 12 + -1(x + -30) Reorder the terms: 12 + 7x = 4x + 12 + -1(-30 + x) 12 + 7x = 4x + 12 + (-30 * -1 + x * -1) 12 + 7x = 4x + 12 + (30 + -1x) Reorder the terms: 12 + 7x = 12 + 30 + 4x + -1x Combine like terms: 12 + 30 = 42 12 + 7x = 42 + 4x + -1x Combine like terms: 4x + -1x = 3x 12 + 7x = 42 + 3x Solving 12 + 7x = 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 + 7x + -3x = 42 + 3x + -3x Combine like terms: 7x + -3x = 4x 12 + 4x = 42 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 4x = 42 + 0 12 + 4x = 42 Add '-12' to each side of the equation. 12 + -12 + 4x = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 42 + -12 4x = 42 + -12 Combine like terms: 42 + -12 = 30 4x = 30 Divide each side by '4'. x = 7.5 Simplifying x = 7.5
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