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Simplifying 3(7 + -6x) + 4x = 5(6 + 3x) (7 * 3 + -6x * 3) + 4x = 5(6 + 3x) (21 + -18x) + 4x = 5(6 + 3x) Combine like terms: -18x + 4x = -14x 21 + -14x = 5(6 + 3x) 21 + -14x = (6 * 5 + 3x * 5) 21 + -14x = (30 + 15x) Solving 21 + -14x = 30 + 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. 21 + -14x + -15x = 30 + 15x + -15x Combine like terms: -14x + -15x = -29x 21 + -29x = 30 + 15x + -15x Combine like terms: 15x + -15x = 0 21 + -29x = 30 + 0 21 + -29x = 30 Add '-21' to each side of the equation. 21 + -21 + -29x = 30 + -21 Combine like terms: 21 + -21 = 0 0 + -29x = 30 + -21 -29x = 30 + -21 Combine like terms: 30 + -21 = 9 -29x = 9 Divide each side by '-29'. x = -0.3103448276 Simplifying x = -0.3103448276
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