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Simplifying 8(x + -4) = -7(x + 2) + 36 Reorder the terms: 8(-4 + x) = -7(x + 2) + 36 (-4 * 8 + x * 8) = -7(x + 2) + 36 (-32 + 8x) = -7(x + 2) + 36 Reorder the terms: -32 + 8x = -7(2 + x) + 36 -32 + 8x = (2 * -7 + x * -7) + 36 -32 + 8x = (-14 + -7x) + 36 Reorder the terms: -32 + 8x = -14 + 36 + -7x Combine like terms: -14 + 36 = 22 -32 + 8x = 22 + -7x Solving -32 + 8x = 22 + -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. -32 + 8x + 7x = 22 + -7x + 7x Combine like terms: 8x + 7x = 15x -32 + 15x = 22 + -7x + 7x Combine like terms: -7x + 7x = 0 -32 + 15x = 22 + 0 -32 + 15x = 22 Add '32' to each side of the equation. -32 + 32 + 15x = 22 + 32 Combine like terms: -32 + 32 = 0 0 + 15x = 22 + 32 15x = 22 + 32 Combine like terms: 22 + 32 = 54 15x = 54 Divide each side by '15'. x = 3.6 Simplifying x = 3.6
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