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Simplifying 4x + -5(2x + -9) = 6(x + 5) + 3 Reorder the terms: 4x + -5(-9 + 2x) = 6(x + 5) + 3 4x + (-9 * -5 + 2x * -5) = 6(x + 5) + 3 4x + (45 + -10x) = 6(x + 5) + 3 Reorder the terms: 45 + 4x + -10x = 6(x + 5) + 3 Combine like terms: 4x + -10x = -6x 45 + -6x = 6(x + 5) + 3 Reorder the terms: 45 + -6x = 6(5 + x) + 3 45 + -6x = (5 * 6 + x * 6) + 3 45 + -6x = (30 + 6x) + 3 Reorder the terms: 45 + -6x = 30 + 3 + 6x Combine like terms: 30 + 3 = 33 45 + -6x = 33 + 6x Solving 45 + -6x = 33 + 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. 45 + -6x + -6x = 33 + 6x + -6x Combine like terms: -6x + -6x = -12x 45 + -12x = 33 + 6x + -6x Combine like terms: 6x + -6x = 0 45 + -12x = 33 + 0 45 + -12x = 33 Add '-45' to each side of the equation. 45 + -45 + -12x = 33 + -45 Combine like terms: 45 + -45 = 0 0 + -12x = 33 + -45 -12x = 33 + -45 Combine like terms: 33 + -45 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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