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Simplifying 4x + 8 + -6(2x + -7) = 12 + -5(3x + 1) Reorder the terms: 4x + 8 + -6(-7 + 2x) = 12 + -5(3x + 1) 4x + 8 + (-7 * -6 + 2x * -6) = 12 + -5(3x + 1) 4x + 8 + (42 + -12x) = 12 + -5(3x + 1) Reorder the terms: 8 + 42 + 4x + -12x = 12 + -5(3x + 1) Combine like terms: 8 + 42 = 50 50 + 4x + -12x = 12 + -5(3x + 1) Combine like terms: 4x + -12x = -8x 50 + -8x = 12 + -5(3x + 1) Reorder the terms: 50 + -8x = 12 + -5(1 + 3x) 50 + -8x = 12 + (1 * -5 + 3x * -5) 50 + -8x = 12 + (-5 + -15x) Combine like terms: 12 + -5 = 7 50 + -8x = 7 + -15x Solving 50 + -8x = 7 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 50 + -8x + 15x = 7 + -15x + 15x Combine like terms: -8x + 15x = 7x 50 + 7x = 7 + -15x + 15x Combine like terms: -15x + 15x = 0 50 + 7x = 7 + 0 50 + 7x = 7 Add '-50' to each side of the equation. 50 + -50 + 7x = 7 + -50 Combine like terms: 50 + -50 = 0 0 + 7x = 7 + -50 7x = 7 + -50 Combine like terms: 7 + -50 = -43 7x = -43 Divide each side by '7'. x = -6.142857143 Simplifying x = -6.142857143
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