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Simplifying 3x + -2(5x + 8) = 14 + -6x Reorder the terms: 3x + -2(8 + 5x) = 14 + -6x 3x + (8 * -2 + 5x * -2) = 14 + -6x 3x + (-16 + -10x) = 14 + -6x Reorder the terms: -16 + 3x + -10x = 14 + -6x Combine like terms: 3x + -10x = -7x -16 + -7x = 14 + -6x Solving -16 + -7x = 14 + -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. -16 + -7x + 6x = 14 + -6x + 6x Combine like terms: -7x + 6x = -1x -16 + -1x = 14 + -6x + 6x Combine like terms: -6x + 6x = 0 -16 + -1x = 14 + 0 -16 + -1x = 14 Add '16' to each side of the equation. -16 + 16 + -1x = 14 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = 14 + 16 -1x = 14 + 16 Combine like terms: 14 + 16 = 30 -1x = 30 Divide each side by '-1'. x = -30 Simplifying x = -30
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