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Simplifying 5x + -1(6x + 8) + -4 = 2x + 6 Reorder the terms: 5x + -1(8 + 6x) + -4 = 2x + 6 5x + (8 * -1 + 6x * -1) + -4 = 2x + 6 5x + (-8 + -6x) + -4 = 2x + 6 Reorder the terms: -8 + -4 + 5x + -6x = 2x + 6 Combine like terms: -8 + -4 = -12 -12 + 5x + -6x = 2x + 6 Combine like terms: 5x + -6x = -1x -12 + -1x = 2x + 6 Reorder the terms: -12 + -1x = 6 + 2x Solving -12 + -1x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + -1x + -2x = 6 + 2x + -2x Combine like terms: -1x + -2x = -3x -12 + -3x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + -3x = 6 + 0 -12 + -3x = 6 Add '12' to each side of the equation. -12 + 12 + -3x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = 6 + 12 -3x = 6 + 12 Combine like terms: 6 + 12 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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