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Simplifying 4x + -5(2 + -1x) = 3(x + -6) + -16 4x + (2 * -5 + -1x * -5) = 3(x + -6) + -16 4x + (-10 + 5x) = 3(x + -6) + -16 Reorder the terms: -10 + 4x + 5x = 3(x + -6) + -16 Combine like terms: 4x + 5x = 9x -10 + 9x = 3(x + -6) + -16 Reorder the terms: -10 + 9x = 3(-6 + x) + -16 -10 + 9x = (-6 * 3 + x * 3) + -16 -10 + 9x = (-18 + 3x) + -16 Reorder the terms: -10 + 9x = -18 + -16 + 3x Combine like terms: -18 + -16 = -34 -10 + 9x = -34 + 3x Solving -10 + 9x = -34 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + 9x + -3x = -34 + 3x + -3x Combine like terms: 9x + -3x = 6x -10 + 6x = -34 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 6x = -34 + 0 -10 + 6x = -34 Add '10' to each side of the equation. -10 + 10 + 6x = -34 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = -34 + 10 6x = -34 + 10 Combine like terms: -34 + 10 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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