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Simplifying -3(5x + -2) + x = 6(3x + 2) + 6 Reorder the terms: -3(-2 + 5x) + x = 6(3x + 2) + 6 (-2 * -3 + 5x * -3) + x = 6(3x + 2) + 6 (6 + -15x) + x = 6(3x + 2) + 6 Combine like terms: -15x + x = -14x 6 + -14x = 6(3x + 2) + 6 Reorder the terms: 6 + -14x = 6(2 + 3x) + 6 6 + -14x = (2 * 6 + 3x * 6) + 6 6 + -14x = (12 + 18x) + 6 Reorder the terms: 6 + -14x = 12 + 6 + 18x Combine like terms: 12 + 6 = 18 6 + -14x = 18 + 18x Solving 6 + -14x = 18 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 6 + -14x + -18x = 18 + 18x + -18x Combine like terms: -14x + -18x = -32x 6 + -32x = 18 + 18x + -18x Combine like terms: 18x + -18x = 0 6 + -32x = 18 + 0 6 + -32x = 18 Add '-6' to each side of the equation. 6 + -6 + -32x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + -32x = 18 + -6 -32x = 18 + -6 Combine like terms: 18 + -6 = 12 -32x = 12 Divide each side by '-32'. x = -0.375 Simplifying x = -0.375
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