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Simplifying 8(x + -2) = -7(x + 4) + 45 Reorder the terms: 8(-2 + x) = -7(x + 4) + 45 (-2 * 8 + x * 8) = -7(x + 4) + 45 (-16 + 8x) = -7(x + 4) + 45 Reorder the terms: -16 + 8x = -7(4 + x) + 45 -16 + 8x = (4 * -7 + x * -7) + 45 -16 + 8x = (-28 + -7x) + 45 Reorder the terms: -16 + 8x = -28 + 45 + -7x Combine like terms: -28 + 45 = 17 -16 + 8x = 17 + -7x Solving -16 + 8x = 17 + -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. -16 + 8x + 7x = 17 + -7x + 7x Combine like terms: 8x + 7x = 15x -16 + 15x = 17 + -7x + 7x Combine like terms: -7x + 7x = 0 -16 + 15x = 17 + 0 -16 + 15x = 17 Add '16' to each side of the equation. -16 + 16 + 15x = 17 + 16 Combine like terms: -16 + 16 = 0 0 + 15x = 17 + 16 15x = 17 + 16 Combine like terms: 17 + 16 = 33 15x = 33 Divide each side by '15'. x = 2.2 Simplifying x = 2.2
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