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Simplifying 5x + 4(x + -2) = 10x + 6 Reorder the terms: 5x + 4(-2 + x) = 10x + 6 5x + (-2 * 4 + x * 4) = 10x + 6 5x + (-8 + 4x) = 10x + 6 Reorder the terms: -8 + 5x + 4x = 10x + 6 Combine like terms: 5x + 4x = 9x -8 + 9x = 10x + 6 Reorder the terms: -8 + 9x = 6 + 10x Solving -8 + 9x = 6 + 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. -8 + 9x + -10x = 6 + 10x + -10x Combine like terms: 9x + -10x = -1x -8 + -1x = 6 + 10x + -10x Combine like terms: 10x + -10x = 0 -8 + -1x = 6 + 0 -8 + -1x = 6 Add '8' to each side of the equation. -8 + 8 + -1x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 6 + 8 -1x = 6 + 8 Combine like terms: 6 + 8 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14
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