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Simplifying 3 + -5(2x + 3) = 4x + -3(6 + -5x) Reorder the terms: 3 + -5(3 + 2x) = 4x + -3(6 + -5x) 3 + (3 * -5 + 2x * -5) = 4x + -3(6 + -5x) 3 + (-15 + -10x) = 4x + -3(6 + -5x) Combine like terms: 3 + -15 = -12 -12 + -10x = 4x + -3(6 + -5x) -12 + -10x = 4x + (6 * -3 + -5x * -3) -12 + -10x = 4x + (-18 + 15x) Reorder the terms: -12 + -10x = -18 + 4x + 15x Combine like terms: 4x + 15x = 19x -12 + -10x = -18 + 19x Solving -12 + -10x = -18 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -12 + -10x + -19x = -18 + 19x + -19x Combine like terms: -10x + -19x = -29x -12 + -29x = -18 + 19x + -19x Combine like terms: 19x + -19x = 0 -12 + -29x = -18 + 0 -12 + -29x = -18 Add '12' to each side of the equation. -12 + 12 + -29x = -18 + 12 Combine like terms: -12 + 12 = 0 0 + -29x = -18 + 12 -29x = -18 + 12 Combine like terms: -18 + 12 = -6 -29x = -6 Divide each side by '-29'. x = 0.2068965517 Simplifying x = 0.2068965517
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