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Simplifying 8 + -3(4x + -3) = 2 + 2(x + -4) Reorder the terms: 8 + -3(-3 + 4x) = 2 + 2(x + -4) 8 + (-3 * -3 + 4x * -3) = 2 + 2(x + -4) 8 + (9 + -12x) = 2 + 2(x + -4) Combine like terms: 8 + 9 = 17 17 + -12x = 2 + 2(x + -4) Reorder the terms: 17 + -12x = 2 + 2(-4 + x) 17 + -12x = 2 + (-4 * 2 + x * 2) 17 + -12x = 2 + (-8 + 2x) Combine like terms: 2 + -8 = -6 17 + -12x = -6 + 2x Solving 17 + -12x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 17 + -12x + -2x = -6 + 2x + -2x Combine like terms: -12x + -2x = -14x 17 + -14x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 17 + -14x = -6 + 0 17 + -14x = -6 Add '-17' to each side of the equation. 17 + -17 + -14x = -6 + -17 Combine like terms: 17 + -17 = 0 0 + -14x = -6 + -17 -14x = -6 + -17 Combine like terms: -6 + -17 = -23 -14x = -23 Divide each side by '-14'. x = 1.642857143 Simplifying x = 1.642857143
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