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Simplifying 10x + -9 = 4(x + -1) + 1 Reorder the terms: -9 + 10x = 4(x + -1) + 1 Reorder the terms: -9 + 10x = 4(-1 + x) + 1 -9 + 10x = (-1 * 4 + x * 4) + 1 -9 + 10x = (-4 + 4x) + 1 Reorder the terms: -9 + 10x = -4 + 1 + 4x Combine like terms: -4 + 1 = -3 -9 + 10x = -3 + 4x Solving -9 + 10x = -3 + 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. -9 + 10x + -4x = -3 + 4x + -4x Combine like terms: 10x + -4x = 6x -9 + 6x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + 6x = -3 + 0 -9 + 6x = -3 Add '9' to each side of the equation. -9 + 9 + 6x = -3 + 9 Combine like terms: -9 + 9 = 0 0 + 6x = -3 + 9 6x = -3 + 9 Combine like terms: -3 + 9 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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