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Simplifying 18 + -3(4x + 2) = 7x + -4(4x + -1) Reorder the terms: 18 + -3(2 + 4x) = 7x + -4(4x + -1) 18 + (2 * -3 + 4x * -3) = 7x + -4(4x + -1) 18 + (-6 + -12x) = 7x + -4(4x + -1) Combine like terms: 18 + -6 = 12 12 + -12x = 7x + -4(4x + -1) Reorder the terms: 12 + -12x = 7x + -4(-1 + 4x) 12 + -12x = 7x + (-1 * -4 + 4x * -4) 12 + -12x = 7x + (4 + -16x) Reorder the terms: 12 + -12x = 4 + 7x + -16x Combine like terms: 7x + -16x = -9x 12 + -12x = 4 + -9x Solving 12 + -12x = 4 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 12 + -12x + 9x = 4 + -9x + 9x Combine like terms: -12x + 9x = -3x 12 + -3x = 4 + -9x + 9x Combine like terms: -9x + 9x = 0 12 + -3x = 4 + 0 12 + -3x = 4 Add '-12' to each side of the equation. 12 + -12 + -3x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = 4 + -12 -3x = 4 + -12 Combine like terms: 4 + -12 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667
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