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Simplifying 6x + -5(2x + 9) = 2x + 3 Reorder the terms: 6x + -5(9 + 2x) = 2x + 3 6x + (9 * -5 + 2x * -5) = 2x + 3 6x + (-45 + -10x) = 2x + 3 Reorder the terms: -45 + 6x + -10x = 2x + 3 Combine like terms: 6x + -10x = -4x -45 + -4x = 2x + 3 Reorder the terms: -45 + -4x = 3 + 2x Solving -45 + -4x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -45 + -4x + -2x = 3 + 2x + -2x Combine like terms: -4x + -2x = -6x -45 + -6x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -45 + -6x = 3 + 0 -45 + -6x = 3 Add '45' to each side of the equation. -45 + 45 + -6x = 3 + 45 Combine like terms: -45 + 45 = 0 0 + -6x = 3 + 45 -6x = 3 + 45 Combine like terms: 3 + 45 = 48 -6x = 48 Divide each side by '-6'. x = -8 Simplifying x = -8
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