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Simplifying 4 + 3(2x + -2) + -3(4x + 5) + -10 = 0 Reorder the terms: 4 + 3(-2 + 2x) + -3(4x + 5) + -10 = 0 4 + (-2 * 3 + 2x * 3) + -3(4x + 5) + -10 = 0 4 + (-6 + 6x) + -3(4x + 5) + -10 = 0 Reorder the terms: 4 + -6 + 6x + -3(5 + 4x) + -10 = 0 4 + -6 + 6x + (5 * -3 + 4x * -3) + -10 = 0 4 + -6 + 6x + (-15 + -12x) + -10 = 0 Reorder the terms: 4 + -6 + -15 + -10 + 6x + -12x = 0 Combine like terms: 4 + -6 = -2 -2 + -15 + -10 + 6x + -12x = 0 Combine like terms: -2 + -15 = -17 -17 + -10 + 6x + -12x = 0 Combine like terms: -17 + -10 = -27 -27 + 6x + -12x = 0 Combine like terms: 6x + -12x = -6x -27 + -6x = 0 Solving -27 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -6x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -6x = 0 + 27 -6x = 0 + 27 Combine like terms: 0 + 27 = 27 -6x = 27 Divide each side by '-6'. x = -4.5 Simplifying x = -4.5
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