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Simplifying 6(4x + 5) + -3x = 8x + -4 + -1(-3x + 12) Reorder the terms: 6(5 + 4x) + -3x = 8x + -4 + -1(-3x + 12) (5 * 6 + 4x * 6) + -3x = 8x + -4 + -1(-3x + 12) (30 + 24x) + -3x = 8x + -4 + -1(-3x + 12) Combine like terms: 24x + -3x = 21x 30 + 21x = 8x + -4 + -1(-3x + 12) Reorder the terms: 30 + 21x = 8x + -4 + -1(12 + -3x) 30 + 21x = 8x + -4 + (12 * -1 + -3x * -1) 30 + 21x = 8x + -4 + (-12 + 3x) Reorder the terms: 30 + 21x = -4 + -12 + 8x + 3x Combine like terms: -4 + -12 = -16 30 + 21x = -16 + 8x + 3x Combine like terms: 8x + 3x = 11x 30 + 21x = -16 + 11x Solving 30 + 21x = -16 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 30 + 21x + -11x = -16 + 11x + -11x Combine like terms: 21x + -11x = 10x 30 + 10x = -16 + 11x + -11x Combine like terms: 11x + -11x = 0 30 + 10x = -16 + 0 30 + 10x = -16 Add '-30' to each side of the equation. 30 + -30 + 10x = -16 + -30 Combine like terms: 30 + -30 = 0 0 + 10x = -16 + -30 10x = -16 + -30 Combine like terms: -16 + -30 = -46 10x = -46 Divide each side by '10'. x = -4.6 Simplifying x = -4.6
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