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Simplifying 3x + -7(2x + -4) = 3(2x + 1) Reorder the terms: 3x + -7(-4 + 2x) = 3(2x + 1) 3x + (-4 * -7 + 2x * -7) = 3(2x + 1) 3x + (28 + -14x) = 3(2x + 1) Reorder the terms: 28 + 3x + -14x = 3(2x + 1) Combine like terms: 3x + -14x = -11x 28 + -11x = 3(2x + 1) Reorder the terms: 28 + -11x = 3(1 + 2x) 28 + -11x = (1 * 3 + 2x * 3) 28 + -11x = (3 + 6x) Solving 28 + -11x = 3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 28 + -11x + -6x = 3 + 6x + -6x Combine like terms: -11x + -6x = -17x 28 + -17x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 28 + -17x = 3 + 0 28 + -17x = 3 Add '-28' to each side of the equation. 28 + -28 + -17x = 3 + -28 Combine like terms: 28 + -28 = 0 0 + -17x = 3 + -28 -17x = 3 + -28 Combine like terms: 3 + -28 = -25 -17x = -25 Divide each side by '-17'. x = 1.470588235 Simplifying x = 1.470588235
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