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Simplifying 6 + 3x + -1(-2) + -1(-4) + -6x = -2x + -8 Multiply -1 * -2 6 + 3x + 2 + -1(-4) + -6x = -2x + -8 Multiply -1 * -4 6 + 3x + 2 + 4 + -6x = -2x + -8 Reorder the terms: 6 + 2 + 4 + 3x + -6x = -2x + -8 Combine like terms: 6 + 2 = 8 8 + 4 + 3x + -6x = -2x + -8 Combine like terms: 8 + 4 = 12 12 + 3x + -6x = -2x + -8 Combine like terms: 3x + -6x = -3x 12 + -3x = -2x + -8 Reorder the terms: 12 + -3x = -8 + -2x Solving 12 + -3x = -8 + -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 + -3x + 2x = -8 + -2x + 2x Combine like terms: -3x + 2x = -1x 12 + -1x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + -1x = -8 + 0 12 + -1x = -8 Add '-12' to each side of the equation. 12 + -12 + -1x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = -8 + -12 -1x = -8 + -12 Combine like terms: -8 + -12 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20
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