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Simplifying 7 + 1x = 6 + -3(1x + -2) Reorder the terms: 7 + 1x = 6 + -3(-2 + 1x) 7 + 1x = 6 + (-2 * -3 + 1x * -3) 7 + 1x = 6 + (6 + -3x) Combine like terms: 6 + 6 = 12 7 + 1x = 12 + -3x Solving 7 + 1x = 12 + -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. 7 + 1x + 3x = 12 + -3x + 3x Combine like terms: 1x + 3x = 4x 7 + 4x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + 4x = 12 + 0 7 + 4x = 12 Add '-7' to each side of the equation. 7 + -7 + 4x = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 12 + -7 4x = 12 + -7 Combine like terms: 12 + -7 = 5 4x = 5 Divide each side by '4'. x = 1.25 Simplifying x = 1.25
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