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Simplifying 5x + -4(x + -4) = 2x + 9 Reorder the terms: 5x + -4(-4 + x) = 2x + 9 5x + (-4 * -4 + x * -4) = 2x + 9 5x + (16 + -4x) = 2x + 9 Reorder the terms: 16 + 5x + -4x = 2x + 9 Combine like terms: 5x + -4x = 1x 16 + 1x = 2x + 9 Reorder the terms: 16 + 1x = 9 + 2x Solving 16 + 1x = 9 + 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. 16 + 1x + -2x = 9 + 2x + -2x Combine like terms: 1x + -2x = -1x 16 + -1x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 16 + -1x = 9 + 0 16 + -1x = 9 Add '-16' to each side of the equation. 16 + -16 + -1x = 9 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 9 + -16 -1x = 9 + -16 Combine like terms: 9 + -16 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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