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Simplifying 6 + -1(x + -2) + 4(3 + -6x) = -36 Reorder the terms: 6 + -1(-2 + x) + 4(3 + -6x) = -36 6 + (-2 * -1 + x * -1) + 4(3 + -6x) = -36 6 + (2 + -1x) + 4(3 + -6x) = -36 6 + 2 + -1x + (3 * 4 + -6x * 4) = -36 6 + 2 + -1x + (12 + -24x) = -36 Reorder the terms: 6 + 2 + 12 + -1x + -24x = -36 Combine like terms: 6 + 2 = 8 8 + 12 + -1x + -24x = -36 Combine like terms: 8 + 12 = 20 20 + -1x + -24x = -36 Combine like terms: -1x + -24x = -25x 20 + -25x = -36 Solving 20 + -25x = -36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -25x = -36 + -20 Combine like terms: 20 + -20 = 0 0 + -25x = -36 + -20 -25x = -36 + -20 Combine like terms: -36 + -20 = -56 -25x = -56 Divide each side by '-25'. x = 2.24 Simplifying x = 2.24
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