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Simplifying 5x + -3(4 + -2x) = -2(x + -2) + 6 5x + (4 * -3 + -2x * -3) = -2(x + -2) + 6 5x + (-12 + 6x) = -2(x + -2) + 6 Reorder the terms: -12 + 5x + 6x = -2(x + -2) + 6 Combine like terms: 5x + 6x = 11x -12 + 11x = -2(x + -2) + 6 Reorder the terms: -12 + 11x = -2(-2 + x) + 6 -12 + 11x = (-2 * -2 + x * -2) + 6 -12 + 11x = (4 + -2x) + 6 Reorder the terms: -12 + 11x = 4 + 6 + -2x Combine like terms: 4 + 6 = 10 -12 + 11x = 10 + -2x Solving -12 + 11x = 10 + -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 + 11x + 2x = 10 + -2x + 2x Combine like terms: 11x + 2x = 13x -12 + 13x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 13x = 10 + 0 -12 + 13x = 10 Add '12' to each side of the equation. -12 + 12 + 13x = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 13x = 10 + 12 13x = 10 + 12 Combine like terms: 10 + 12 = 22 13x = 22 Divide each side by '13'. x = 1.692307692 Simplifying x = 1.692307692
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