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