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Simplifying 5x + -6 = 2(3x + -4) + 10 Reorder the terms: -6 + 5x = 2(3x + -4) + 10 Reorder the terms: -6 + 5x = 2(-4 + 3x) + 10 -6 + 5x = (-4 * 2 + 3x * 2) + 10 -6 + 5x = (-8 + 6x) + 10 Reorder the terms: -6 + 5x = -8 + 10 + 6x Combine like terms: -8 + 10 = 2 -6 + 5x = 2 + 6x Solving -6 + 5x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 5x + -6x = 2 + 6x + -6x Combine like terms: 5x + -6x = -1x -6 + -1x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -1x = 2 + 0 -6 + -1x = 2 Add '6' to each side of the equation. -6 + 6 + -1x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 2 + 6 -1x = 2 + 6 Combine like terms: 2 + 6 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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