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Simplifying 4 + -1(7 + -3x) = 7(4 + -2x) 4 + (7 * -1 + -3x * -1) = 7(4 + -2x) 4 + (-7 + 3x) = 7(4 + -2x) Combine like terms: 4 + -7 = -3 -3 + 3x = 7(4 + -2x) -3 + 3x = (4 * 7 + -2x * 7) -3 + 3x = (28 + -14x) Solving -3 + 3x = 28 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -3 + 3x + 14x = 28 + -14x + 14x Combine like terms: 3x + 14x = 17x -3 + 17x = 28 + -14x + 14x Combine like terms: -14x + 14x = 0 -3 + 17x = 28 + 0 -3 + 17x = 28 Add '3' to each side of the equation. -3 + 3 + 17x = 28 + 3 Combine like terms: -3 + 3 = 0 0 + 17x = 28 + 3 17x = 28 + 3 Combine like terms: 28 + 3 = 31 17x = 31 Divide each side by '17'. x = 1.823529412 Simplifying x = 1.823529412
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