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Simplifying 7(x + -4) = -8(x + 3) + 47 Reorder the terms: 7(-4 + x) = -8(x + 3) + 47 (-4 * 7 + x * 7) = -8(x + 3) + 47 (-28 + 7x) = -8(x + 3) + 47 Reorder the terms: -28 + 7x = -8(3 + x) + 47 -28 + 7x = (3 * -8 + x * -8) + 47 -28 + 7x = (-24 + -8x) + 47 Reorder the terms: -28 + 7x = -24 + 47 + -8x Combine like terms: -24 + 47 = 23 -28 + 7x = 23 + -8x Solving -28 + 7x = 23 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -28 + 7x + 8x = 23 + -8x + 8x Combine like terms: 7x + 8x = 15x -28 + 15x = 23 + -8x + 8x Combine like terms: -8x + 8x = 0 -28 + 15x = 23 + 0 -28 + 15x = 23 Add '28' to each side of the equation. -28 + 28 + 15x = 23 + 28 Combine like terms: -28 + 28 = 0 0 + 15x = 23 + 28 15x = 23 + 28 Combine like terms: 23 + 28 = 51 15x = 51 Divide each side by '15'. x = 3.4 Simplifying x = 3.4
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