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Simplifying 5x + -1(4x + 8) = 2x + -45 Reorder the terms: 5x + -1(8 + 4x) = 2x + -45 5x + (8 * -1 + 4x * -1) = 2x + -45 5x + (-8 + -4x) = 2x + -45 Reorder the terms: -8 + 5x + -4x = 2x + -45 Combine like terms: 5x + -4x = 1x -8 + 1x = 2x + -45 Reorder the terms: -8 + 1x = -45 + 2x Solving -8 + 1x = -45 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + 1x + -2x = -45 + 2x + -2x Combine like terms: 1x + -2x = -1x -8 + -1x = -45 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -1x = -45 + 0 -8 + -1x = -45 Add '8' to each side of the equation. -8 + 8 + -1x = -45 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = -45 + 8 -1x = -45 + 8 Combine like terms: -45 + 8 = -37 -1x = -37 Divide each side by '-1'. x = 37 Simplifying x = 37
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