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Simplifying 5x + 3(x + -2) + 100 + -2(x + 3) = 0 Reorder the terms: 5x + 3(-2 + x) + 100 + -2(x + 3) = 0 5x + (-2 * 3 + x * 3) + 100 + -2(x + 3) = 0 5x + (-6 + 3x) + 100 + -2(x + 3) = 0 Reorder the terms: 5x + -6 + 3x + 100 + -2(3 + x) = 0 5x + -6 + 3x + 100 + (3 * -2 + x * -2) = 0 5x + -6 + 3x + 100 + (-6 + -2x) = 0 Reorder the terms: -6 + 100 + -6 + 5x + 3x + -2x = 0 Combine like terms: -6 + 100 = 94 94 + -6 + 5x + 3x + -2x = 0 Combine like terms: 94 + -6 = 88 88 + 5x + 3x + -2x = 0 Combine like terms: 5x + 3x = 8x 88 + 8x + -2x = 0 Combine like terms: 8x + -2x = 6x 88 + 6x = 0 Solving 88 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-88' to each side of the equation. 88 + -88 + 6x = 0 + -88 Combine like terms: 88 + -88 = 0 0 + 6x = 0 + -88 6x = 0 + -88 Combine like terms: 0 + -88 = -88 6x = -88 Divide each side by '6'. x = -14.66666667 Simplifying x = -14.66666667
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