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Simplifying 4(2x + -8) = 9x + -19 Reorder the terms: 4(-8 + 2x) = 9x + -19 (-8 * 4 + 2x * 4) = 9x + -19 (-32 + 8x) = 9x + -19 Reorder the terms: -32 + 8x = -19 + 9x Solving -32 + 8x = -19 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -32 + 8x + -9x = -19 + 9x + -9x Combine like terms: 8x + -9x = -1x -32 + -1x = -19 + 9x + -9x Combine like terms: 9x + -9x = 0 -32 + -1x = -19 + 0 -32 + -1x = -19 Add '32' to each side of the equation. -32 + 32 + -1x = -19 + 32 Combine like terms: -32 + 32 = 0 0 + -1x = -19 + 32 -1x = -19 + 32 Combine like terms: -19 + 32 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13
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