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Simplifying 3(5 + -2x) + 7 = 3 + -4x (5 * 3 + -2x * 3) + 7 = 3 + -4x (15 + -6x) + 7 = 3 + -4x Reorder the terms: 15 + 7 + -6x = 3 + -4x Combine like terms: 15 + 7 = 22 22 + -6x = 3 + -4x Solving 22 + -6x = 3 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 22 + -6x + 4x = 3 + -4x + 4x Combine like terms: -6x + 4x = -2x 22 + -2x = 3 + -4x + 4x Combine like terms: -4x + 4x = 0 22 + -2x = 3 + 0 22 + -2x = 3 Add '-22' to each side of the equation. 22 + -22 + -2x = 3 + -22 Combine like terms: 22 + -22 = 0 0 + -2x = 3 + -22 -2x = 3 + -22 Combine like terms: 3 + -22 = -19 -2x = -19 Divide each side by '-2'. x = 9.5 Simplifying x = 9.5
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