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Simplifying 2(1 + -2x) + 1(x + 10) = 12X + -3(7x + 4) (1 * 2 + -2x * 2) + 1(x + 10) = 12X + -3(7x + 4) (2 + -4x) + 1(x + 10) = 12X + -3(7x + 4) Reorder the terms: 2 + -4x + 1(10 + x) = 12X + -3(7x + 4) 2 + -4x + (10 * 1 + x * 1) = 12X + -3(7x + 4) 2 + -4x + (10 + 1x) = 12X + -3(7x + 4) Reorder the terms: 2 + 10 + -4x + 1x = 12X + -3(7x + 4) Combine like terms: 2 + 10 = 12 12 + -4x + 1x = 12X + -3(7x + 4) Combine like terms: -4x + 1x = -3x 12 + -3x = 12X + -3(7x + 4) Reorder the terms: 12 + -3x = 12X + -3(4 + 7x) 12 + -3x = 12X + (4 * -3 + 7x * -3) 12 + -3x = 12X + (-12 + -21x) Reorder the terms: 12 + -3x = -12 + 12X + -21x Solving 12 + -3x = -12 + 12X + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 12 + -3x + 21x = -12 + 12X + -21x + 21x Combine like terms: -3x + 21x = 18x 12 + 18x = -12 + 12X + -21x + 21x Combine like terms: -21x + 21x = 0 12 + 18x = -12 + 12X + 0 12 + 18x = -12 + 12X Add '-12' to each side of the equation. 12 + -12 + 18x = -12 + -12 + 12X Combine like terms: 12 + -12 = 0 0 + 18x = -12 + -12 + 12X 18x = -12 + -12 + 12X Combine like terms: -12 + -12 = -24 18x = -24 + 12X Divide each side by '18'. x = -1.333333333 + 0.6666666667X Simplifying x = -1.333333333 + 0.6666666667X
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