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Simplifying 7 + 4(x + -4) = 8x + -45 Reorder the terms: 7 + 4(-4 + x) = 8x + -45 7 + (-4 * 4 + x * 4) = 8x + -45 7 + (-16 + 4x) = 8x + -45 Combine like terms: 7 + -16 = -9 -9 + 4x = 8x + -45 Reorder the terms: -9 + 4x = -45 + 8x Solving -9 + 4x = -45 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -9 + 4x + -8x = -45 + 8x + -8x Combine like terms: 4x + -8x = -4x -9 + -4x = -45 + 8x + -8x Combine like terms: 8x + -8x = 0 -9 + -4x = -45 + 0 -9 + -4x = -45 Add '9' to each side of the equation. -9 + 9 + -4x = -45 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = -45 + 9 -4x = -45 + 9 Combine like terms: -45 + 9 = -36 -4x = -36 Divide each side by '-4'. x = 9 Simplifying x = 9
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