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Simplifying 3x + -15x + 51 = 14 + 7x Reorder the terms: 51 + 3x + -15x = 14 + 7x Combine like terms: 3x + -15x = -12x 51 + -12x = 14 + 7x Solving 51 + -12x = 14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 51 + -12x + -7x = 14 + 7x + -7x Combine like terms: -12x + -7x = -19x 51 + -19x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 51 + -19x = 14 + 0 51 + -19x = 14 Add '-51' to each side of the equation. 51 + -51 + -19x = 14 + -51 Combine like terms: 51 + -51 = 0 0 + -19x = 14 + -51 -19x = 14 + -51 Combine like terms: 14 + -51 = -37 -19x = -37 Divide each side by '-19'. x = 1.947368421 Simplifying x = 1.947368421
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