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Simplifying 4 + -3(x + 3) = 11 + -7(5 + -2x) Reorder the terms: 4 + -3(3 + x) = 11 + -7(5 + -2x) 4 + (3 * -3 + x * -3) = 11 + -7(5 + -2x) 4 + (-9 + -3x) = 11 + -7(5 + -2x) Combine like terms: 4 + -9 = -5 -5 + -3x = 11 + -7(5 + -2x) -5 + -3x = 11 + (5 * -7 + -2x * -7) -5 + -3x = 11 + (-35 + 14x) Combine like terms: 11 + -35 = -24 -5 + -3x = -24 + 14x Solving -5 + -3x = -24 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -5 + -3x + -14x = -24 + 14x + -14x Combine like terms: -3x + -14x = -17x -5 + -17x = -24 + 14x + -14x Combine like terms: 14x + -14x = 0 -5 + -17x = -24 + 0 -5 + -17x = -24 Add '5' to each side of the equation. -5 + 5 + -17x = -24 + 5 Combine like terms: -5 + 5 = 0 0 + -17x = -24 + 5 -17x = -24 + 5 Combine like terms: -24 + 5 = -19 -17x = -19 Divide each side by '-17'. x = 1.117647059 Simplifying x = 1.117647059
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