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Simplifying 3x + -4(2x + 5) = -16 + 13x Reorder the terms: 3x + -4(5 + 2x) = -16 + 13x 3x + (5 * -4 + 2x * -4) = -16 + 13x 3x + (-20 + -8x) = -16 + 13x Reorder the terms: -20 + 3x + -8x = -16 + 13x Combine like terms: 3x + -8x = -5x -20 + -5x = -16 + 13x Solving -20 + -5x = -16 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -20 + -5x + -13x = -16 + 13x + -13x Combine like terms: -5x + -13x = -18x -20 + -18x = -16 + 13x + -13x Combine like terms: 13x + -13x = 0 -20 + -18x = -16 + 0 -20 + -18x = -16 Add '20' to each side of the equation. -20 + 20 + -18x = -16 + 20 Combine like terms: -20 + 20 = 0 0 + -18x = -16 + 20 -18x = -16 + 20 Combine like terms: -16 + 20 = 4 -18x = 4 Divide each side by '-18'. x = -0.2222222222 Simplifying x = -0.2222222222
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