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Simplifying 10x + -6 = 4x + -2(x + 2) + -1x Reorder the terms: -6 + 10x = 4x + -2(x + 2) + -1x Reorder the terms: -6 + 10x = 4x + -2(2 + x) + -1x -6 + 10x = 4x + (2 * -2 + x * -2) + -1x -6 + 10x = 4x + (-4 + -2x) + -1x Reorder the terms: -6 + 10x = -4 + 4x + -2x + -1x Combine like terms: 4x + -2x = 2x -6 + 10x = -4 + 2x + -1x Combine like terms: 2x + -1x = 1x -6 + 10x = -4 + 1x Solving -6 + 10x = -4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + 10x + -1x = -4 + 1x + -1x Combine like terms: 10x + -1x = 9x -6 + 9x = -4 + 1x + -1x Combine like terms: 1x + -1x = 0 -6 + 9x = -4 + 0 -6 + 9x = -4 Add '6' to each side of the equation. -6 + 6 + 9x = -4 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = -4 + 6 9x = -4 + 6 Combine like terms: -4 + 6 = 2 9x = 2 Divide each side by '9'. x = 0.2222222222 Simplifying x = 0.2222222222
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