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Simplifying 2x + -6 + -4(x + -3) = 10x + 9 + -6 Reorder the terms: 2x + -6 + -4(-3 + x) = 10x + 9 + -6 2x + -6 + (-3 * -4 + x * -4) = 10x + 9 + -6 2x + -6 + (12 + -4x) = 10x + 9 + -6 Reorder the terms: -6 + 12 + 2x + -4x = 10x + 9 + -6 Combine like terms: -6 + 12 = 6 6 + 2x + -4x = 10x + 9 + -6 Combine like terms: 2x + -4x = -2x 6 + -2x = 10x + 9 + -6 Reorder the terms: 6 + -2x = 9 + -6 + 10x Combine like terms: 9 + -6 = 3 6 + -2x = 3 + 10x Solving 6 + -2x = 3 + 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. 6 + -2x + -10x = 3 + 10x + -10x Combine like terms: -2x + -10x = -12x 6 + -12x = 3 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + -12x = 3 + 0 6 + -12x = 3 Add '-6' to each side of the equation. 6 + -6 + -12x = 3 + -6 Combine like terms: 6 + -6 = 0 0 + -12x = 3 + -6 -12x = 3 + -6 Combine like terms: 3 + -6 = -3 -12x = -3 Divide each side by '-12'. x = 0.25 Simplifying x = 0.25
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