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Simplifying 8(x + -3) = -7(x + 2) + 47 Reorder the terms: 8(-3 + x) = -7(x + 2) + 47 (-3 * 8 + x * 8) = -7(x + 2) + 47 (-24 + 8x) = -7(x + 2) + 47 Reorder the terms: -24 + 8x = -7(2 + x) + 47 -24 + 8x = (2 * -7 + x * -7) + 47 -24 + 8x = (-14 + -7x) + 47 Reorder the terms: -24 + 8x = -14 + 47 + -7x Combine like terms: -14 + 47 = 33 -24 + 8x = 33 + -7x Solving -24 + 8x = 33 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -24 + 8x + 7x = 33 + -7x + 7x Combine like terms: 8x + 7x = 15x -24 + 15x = 33 + -7x + 7x Combine like terms: -7x + 7x = 0 -24 + 15x = 33 + 0 -24 + 15x = 33 Add '24' to each side of the equation. -24 + 24 + 15x = 33 + 24 Combine like terms: -24 + 24 = 0 0 + 15x = 33 + 24 15x = 33 + 24 Combine like terms: 33 + 24 = 57 15x = 57 Divide each side by '15'. x = 3.8 Simplifying x = 3.8
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