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Simplifying 7(x + -4) = 3x + -28 + 46x Reorder the terms: 7(-4 + x) = 3x + -28 + 46x (-4 * 7 + x * 7) = 3x + -28 + 46x (-28 + 7x) = 3x + -28 + 46x Reorder the terms: -28 + 7x = -28 + 3x + 46x Combine like terms: 3x + 46x = 49x -28 + 7x = -28 + 49x Add '28' to each side of the equation. -28 + 28 + 7x = -28 + 28 + 49x Combine like terms: -28 + 28 = 0 0 + 7x = -28 + 28 + 49x 7x = -28 + 28 + 49x Combine like terms: -28 + 28 = 0 7x = 0 + 49x 7x = 49x Solving 7x = 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. 7x + -49x = 49x + -49x Combine like terms: 7x + -49x = -42x -42x = 49x + -49x Combine like terms: 49x + -49x = 0 -42x = 0 Divide each side by '-42'. x = 0 Simplifying x = 0
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