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Simplifying 12 + -1x = 4(10 + -1x) + 8 12 + -1x = (10 * 4 + -1x * 4) + 8 12 + -1x = (40 + -4x) + 8 Reorder the terms: 12 + -1x = 40 + 8 + -4x Combine like terms: 40 + 8 = 48 12 + -1x = 48 + -4x Solving 12 + -1x = 48 + -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. 12 + -1x + 4x = 48 + -4x + 4x Combine like terms: -1x + 4x = 3x 12 + 3x = 48 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + 3x = 48 + 0 12 + 3x = 48 Add '-12' to each side of the equation. 12 + -12 + 3x = 48 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 48 + -12 3x = 48 + -12 Combine like terms: 48 + -12 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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