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Simplifying 8(x + -1) = -7(x + 4) + 38 Reorder the terms: 8(-1 + x) = -7(x + 4) + 38 (-1 * 8 + x * 8) = -7(x + 4) + 38 (-8 + 8x) = -7(x + 4) + 38 Reorder the terms: -8 + 8x = -7(4 + x) + 38 -8 + 8x = (4 * -7 + x * -7) + 38 -8 + 8x = (-28 + -7x) + 38 Reorder the terms: -8 + 8x = -28 + 38 + -7x Combine like terms: -28 + 38 = 10 -8 + 8x = 10 + -7x Solving -8 + 8x = 10 + -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. -8 + 8x + 7x = 10 + -7x + 7x Combine like terms: 8x + 7x = 15x -8 + 15x = 10 + -7x + 7x Combine like terms: -7x + 7x = 0 -8 + 15x = 10 + 0 -8 + 15x = 10 Add '8' to each side of the equation. -8 + 8 + 15x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 15x = 10 + 8 15x = 10 + 8 Combine like terms: 10 + 8 = 18 15x = 18 Divide each side by '15'. x = 1.2 Simplifying x = 1.2
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