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Simplifying 4x + 6(x + -2) = 9x + 10 Reorder the terms: 4x + 6(-2 + x) = 9x + 10 4x + (-2 * 6 + x * 6) = 9x + 10 4x + (-12 + 6x) = 9x + 10 Reorder the terms: -12 + 4x + 6x = 9x + 10 Combine like terms: 4x + 6x = 10x -12 + 10x = 9x + 10 Reorder the terms: -12 + 10x = 10 + 9x Solving -12 + 10x = 10 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -12 + 10x + -9x = 10 + 9x + -9x Combine like terms: 10x + -9x = 1x -12 + 1x = 10 + 9x + -9x Combine like terms: 9x + -9x = 0 -12 + 1x = 10 + 0 -12 + 1x = 10 Add '12' to each side of the equation. -12 + 12 + 1x = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 10 + 12 1x = 10 + 12 Combine like terms: 10 + 12 = 22 1x = 22 Divide each side by '1'. x = 22 Simplifying x = 22
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