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Simplifying 3x + 7 = 5(6 + -1x) Reorder the terms: 7 + 3x = 5(6 + -1x) 7 + 3x = (6 * 5 + -1x * 5) 7 + 3x = (30 + -5x) Solving 7 + 3x = 30 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 7 + 3x + 5x = 30 + -5x + 5x Combine like terms: 3x + 5x = 8x 7 + 8x = 30 + -5x + 5x Combine like terms: -5x + 5x = 0 7 + 8x = 30 + 0 7 + 8x = 30 Add '-7' to each side of the equation. 7 + -7 + 8x = 30 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 30 + -7 8x = 30 + -7 Combine like terms: 30 + -7 = 23 8x = 23 Divide each side by '8'. x = 2.875 Simplifying x = 2.875
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