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Simplifying 4(x + 3) + -5(3x + -8) = 12 + -2(3x + 1) Reorder the terms: 4(3 + x) + -5(3x + -8) = 12 + -2(3x + 1) (3 * 4 + x * 4) + -5(3x + -8) = 12 + -2(3x + 1) (12 + 4x) + -5(3x + -8) = 12 + -2(3x + 1) Reorder the terms: 12 + 4x + -5(-8 + 3x) = 12 + -2(3x + 1) 12 + 4x + (-8 * -5 + 3x * -5) = 12 + -2(3x + 1) 12 + 4x + (40 + -15x) = 12 + -2(3x + 1) Reorder the terms: 12 + 40 + 4x + -15x = 12 + -2(3x + 1) Combine like terms: 12 + 40 = 52 52 + 4x + -15x = 12 + -2(3x + 1) Combine like terms: 4x + -15x = -11x 52 + -11x = 12 + -2(3x + 1) Reorder the terms: 52 + -11x = 12 + -2(1 + 3x) 52 + -11x = 12 + (1 * -2 + 3x * -2) 52 + -11x = 12 + (-2 + -6x) Combine like terms: 12 + -2 = 10 52 + -11x = 10 + -6x Solving 52 + -11x = 10 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 52 + -11x + 6x = 10 + -6x + 6x Combine like terms: -11x + 6x = -5x 52 + -5x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 52 + -5x = 10 + 0 52 + -5x = 10 Add '-52' to each side of the equation. 52 + -52 + -5x = 10 + -52 Combine like terms: 52 + -52 = 0 0 + -5x = 10 + -52 -5x = 10 + -52 Combine like terms: 10 + -52 = -42 -5x = -42 Divide each side by '-5'. x = 8.4 Simplifying x = 8.4
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