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Simplifying 5x + 4(x + -1) = 10x + 9 Reorder the terms: 5x + 4(-1 + x) = 10x + 9 5x + (-1 * 4 + x * 4) = 10x + 9 5x + (-4 + 4x) = 10x + 9 Reorder the terms: -4 + 5x + 4x = 10x + 9 Combine like terms: 5x + 4x = 9x -4 + 9x = 10x + 9 Reorder the terms: -4 + 9x = 9 + 10x Solving -4 + 9x = 9 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -4 + 9x + -10x = 9 + 10x + -10x Combine like terms: 9x + -10x = -1x -4 + -1x = 9 + 10x + -10x Combine like terms: 10x + -10x = 0 -4 + -1x = 9 + 0 -4 + -1x = 9 Add '4' to each side of the equation. -4 + 4 + -1x = 9 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 9 + 4 -1x = 9 + 4 Combine like terms: 9 + 4 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13
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