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Simplifying 12x + -4(x + -3) = 8x + -3(4x + -11) + -3 Reorder the terms: 12x + -4(-3 + x) = 8x + -3(4x + -11) + -3 12x + (-3 * -4 + x * -4) = 8x + -3(4x + -11) + -3 12x + (12 + -4x) = 8x + -3(4x + -11) + -3 Reorder the terms: 12 + 12x + -4x = 8x + -3(4x + -11) + -3 Combine like terms: 12x + -4x = 8x 12 + 8x = 8x + -3(4x + -11) + -3 Reorder the terms: 12 + 8x = 8x + -3(-11 + 4x) + -3 12 + 8x = 8x + (-11 * -3 + 4x * -3) + -3 12 + 8x = 8x + (33 + -12x) + -3 Reorder the terms: 12 + 8x = 33 + -3 + 8x + -12x Combine like terms: 33 + -3 = 30 12 + 8x = 30 + 8x + -12x Combine like terms: 8x + -12x = -4x 12 + 8x = 30 + -4x Solving 12 + 8x = 30 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 12 + 8x + 4x = 30 + -4x + 4x Combine like terms: 8x + 4x = 12x 12 + 12x = 30 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + 12x = 30 + 0 12 + 12x = 30 Add '-12' to each side of the equation. 12 + -12 + 12x = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 12x = 30 + -12 12x = 30 + -12 Combine like terms: 30 + -12 = 18 12x = 18 Divide each side by '12'. x = 1.5 Simplifying x = 1.5
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