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Simplifying 2(x + 7) + -6x = 3(5x + 4) Reorder the terms: 2(7 + x) + -6x = 3(5x + 4) (7 * 2 + x * 2) + -6x = 3(5x + 4) (14 + 2x) + -6x = 3(5x + 4) Combine like terms: 2x + -6x = -4x 14 + -4x = 3(5x + 4) Reorder the terms: 14 + -4x = 3(4 + 5x) 14 + -4x = (4 * 3 + 5x * 3) 14 + -4x = (12 + 15x) Solving 14 + -4x = 12 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 14 + -4x + -15x = 12 + 15x + -15x Combine like terms: -4x + -15x = -19x 14 + -19x = 12 + 15x + -15x Combine like terms: 15x + -15x = 0 14 + -19x = 12 + 0 14 + -19x = 12 Add '-14' to each side of the equation. 14 + -14 + -19x = 12 + -14 Combine like terms: 14 + -14 = 0 0 + -19x = 12 + -14 -19x = 12 + -14 Combine like terms: 12 + -14 = -2 -19x = -2 Divide each side by '-19'. x = 0.1052631579 Simplifying x = 0.1052631579
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