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Simplifying 4(3x + -6) + 5(6x + -7) = 3 Reorder the terms: 4(-6 + 3x) + 5(6x + -7) = 3 (-6 * 4 + 3x * 4) + 5(6x + -7) = 3 (-24 + 12x) + 5(6x + -7) = 3 Reorder the terms: -24 + 12x + 5(-7 + 6x) = 3 -24 + 12x + (-7 * 5 + 6x * 5) = 3 -24 + 12x + (-35 + 30x) = 3 Reorder the terms: -24 + -35 + 12x + 30x = 3 Combine like terms: -24 + -35 = -59 -59 + 12x + 30x = 3 Combine like terms: 12x + 30x = 42x -59 + 42x = 3 Solving -59 + 42x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '59' to each side of the equation. -59 + 59 + 42x = 3 + 59 Combine like terms: -59 + 59 = 0 0 + 42x = 3 + 59 42x = 3 + 59 Combine like terms: 3 + 59 = 62 42x = 62 Divide each side by '42'. x = 1.476190476 Simplifying x = 1.476190476
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