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Simplifying 3x + -6(2x + -3) = -2(x + -1) + 4 * 2 Reorder the terms: 3x + -6(-3 + 2x) = -2(x + -1) + 4 * 2 3x + (-3 * -6 + 2x * -6) = -2(x + -1) + 4 * 2 3x + (18 + -12x) = -2(x + -1) + 4 * 2 Reorder the terms: 18 + 3x + -12x = -2(x + -1) + 4 * 2 Combine like terms: 3x + -12x = -9x 18 + -9x = -2(x + -1) + 4 * 2 Reorder the terms: 18 + -9x = -2(-1 + x) + 4 * 2 18 + -9x = (-1 * -2 + x * -2) + 4 * 2 18 + -9x = (2 + -2x) + 4 * 2 Multiply 4 * 2 18 + -9x = 2 + -2x + 8 Reorder the terms: 18 + -9x = 2 + 8 + -2x Combine like terms: 2 + 8 = 10 18 + -9x = 10 + -2x Solving 18 + -9x = 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. 18 + -9x + 2x = 10 + -2x + 2x Combine like terms: -9x + 2x = -7x 18 + -7x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 18 + -7x = 10 + 0 18 + -7x = 10 Add '-18' to each side of the equation. 18 + -18 + -7x = 10 + -18 Combine like terms: 18 + -18 = 0 0 + -7x = 10 + -18 -7x = 10 + -18 Combine like terms: 10 + -18 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143
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