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Simplifying 5(3 + -1x) + 1 = 3x + 12 (3 * 5 + -1x * 5) + 1 = 3x + 12 (15 + -5x) + 1 = 3x + 12 Reorder the terms: 15 + 1 + -5x = 3x + 12 Combine like terms: 15 + 1 = 16 16 + -5x = 3x + 12 Reorder the terms: 16 + -5x = 12 + 3x Solving 16 + -5x = 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. 16 + -5x + -3x = 12 + 3x + -3x Combine like terms: -5x + -3x = -8x 16 + -8x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 16 + -8x = 12 + 0 16 + -8x = 12 Add '-16' to each side of the equation. 16 + -16 + -8x = 12 + -16 Combine like terms: 16 + -16 = 0 0 + -8x = 12 + -16 -8x = 12 + -16 Combine like terms: 12 + -16 = -4 -8x = -4 Divide each side by '-8'. x = 0.5 Simplifying x = 0.5
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