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Simplifying 5x + -10 = 4(x + -1) + 9 Reorder the terms: -10 + 5x = 4(x + -1) + 9 Reorder the terms: -10 + 5x = 4(-1 + x) + 9 -10 + 5x = (-1 * 4 + x * 4) + 9 -10 + 5x = (-4 + 4x) + 9 Reorder the terms: -10 + 5x = -4 + 9 + 4x Combine like terms: -4 + 9 = 5 -10 + 5x = 5 + 4x Solving -10 + 5x = 5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -10 + 5x + -4x = 5 + 4x + -4x Combine like terms: 5x + -4x = 1x -10 + 1x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 1x = 5 + 0 -10 + 1x = 5 Add '10' to each side of the equation. -10 + 10 + 1x = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 5 + 10 1x = 5 + 10 Combine like terms: 5 + 10 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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