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Simplifying 4(-4x + 3) + -6x = 100 Reorder the terms: 4(3 + -4x) + -6x = 100 (3 * 4 + -4x * 4) + -6x = 100 (12 + -16x) + -6x = 100 Combine like terms: -16x + -6x = -22x 12 + -22x = 100 Solving 12 + -22x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -22x = 100 + -12 Combine like terms: 12 + -12 = 0 0 + -22x = 100 + -12 -22x = 100 + -12 Combine like terms: 100 + -12 = 88 -22x = 88 Divide each side by '-22'. x = -4 Simplifying x = -4
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