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Simplifying 8(x + -4) = -7(x + 1) + 11 Reorder the terms: 8(-4 + x) = -7(x + 1) + 11 (-4 * 8 + x * 8) = -7(x + 1) + 11 (-32 + 8x) = -7(x + 1) + 11 Reorder the terms: -32 + 8x = -7(1 + x) + 11 -32 + 8x = (1 * -7 + x * -7) + 11 -32 + 8x = (-7 + -7x) + 11 Reorder the terms: -32 + 8x = -7 + 11 + -7x Combine like terms: -7 + 11 = 4 -32 + 8x = 4 + -7x Solving -32 + 8x = 4 + -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 = 4 + -7x + 7x Combine like terms: 8x + 7x = 15x -32 + 15x = 4 + -7x + 7x Combine like terms: -7x + 7x = 0 -32 + 15x = 4 + 0 -32 + 15x = 4 Add '32' to each side of the equation. -32 + 32 + 15x = 4 + 32 Combine like terms: -32 + 32 = 0 0 + 15x = 4 + 32 15x = 4 + 32 Combine like terms: 4 + 32 = 36 15x = 36 Divide each side by '15'. x = 2.4 Simplifying x = 2.4
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