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Simplifying 4x + -7 = 7(7x + -4) Reorder the terms: -7 + 4x = 7(7x + -4) Reorder the terms: -7 + 4x = 7(-4 + 7x) -7 + 4x = (-4 * 7 + 7x * 7) -7 + 4x = (-28 + 49x) Solving -7 + 4x = -28 + 49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49x' to each side of the equation. -7 + 4x + -49x = -28 + 49x + -49x Combine like terms: 4x + -49x = -45x -7 + -45x = -28 + 49x + -49x Combine like terms: 49x + -49x = 0 -7 + -45x = -28 + 0 -7 + -45x = -28 Add '7' to each side of the equation. -7 + 7 + -45x = -28 + 7 Combine like terms: -7 + 7 = 0 0 + -45x = -28 + 7 -45x = -28 + 7 Combine like terms: -28 + 7 = -21 -45x = -21 Divide each side by '-45'. x = 0.4666666667 Simplifying x = 0.4666666667
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