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Simplifying 4(2x + -3) = 2 + -1(6 + -1x) Reorder the terms: 4(-3 + 2x) = 2 + -1(6 + -1x) (-3 * 4 + 2x * 4) = 2 + -1(6 + -1x) (-12 + 8x) = 2 + -1(6 + -1x) -12 + 8x = 2 + (6 * -1 + -1x * -1) -12 + 8x = 2 + (-6 + 1x) Combine like terms: 2 + -6 = -4 -12 + 8x = -4 + 1x Solving -12 + 8x = -4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + 8x + -1x = -4 + 1x + -1x Combine like terms: 8x + -1x = 7x -12 + 7x = -4 + 1x + -1x Combine like terms: 1x + -1x = 0 -12 + 7x = -4 + 0 -12 + 7x = -4 Add '12' to each side of the equation. -12 + 12 + 7x = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = -4 + 12 7x = -4 + 12 Combine like terms: -4 + 12 = 8 7x = 8 Divide each side by '7'. x = 1.142857143 Simplifying x = 1.142857143
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