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Simplifying 4(5 + -3x) = 7x + 1 (5 * 4 + -3x * 4) = 7x + 1 (20 + -12x) = 7x + 1 Reorder the terms: 20 + -12x = 1 + 7x Solving 20 + -12x = 1 + 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. 20 + -12x + -7x = 1 + 7x + -7x Combine like terms: -12x + -7x = -19x 20 + -19x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 20 + -19x = 1 + 0 20 + -19x = 1 Add '-20' to each side of the equation. 20 + -20 + -19x = 1 + -20 Combine like terms: 20 + -20 = 0 0 + -19x = 1 + -20 -19x = 1 + -20 Combine like terms: 1 + -20 = -19 -19x = -19 Divide each side by '-19'. x = 1 Simplifying x = 1
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