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Simplifying 5(x + -3) + 4(x + 3) = 3(x + -11) Reorder the terms: 5(-3 + x) + 4(x + 3) = 3(x + -11) (-3 * 5 + x * 5) + 4(x + 3) = 3(x + -11) (-15 + 5x) + 4(x + 3) = 3(x + -11) Reorder the terms: -15 + 5x + 4(3 + x) = 3(x + -11) -15 + 5x + (3 * 4 + x * 4) = 3(x + -11) -15 + 5x + (12 + 4x) = 3(x + -11) Reorder the terms: -15 + 12 + 5x + 4x = 3(x + -11) Combine like terms: -15 + 12 = -3 -3 + 5x + 4x = 3(x + -11) Combine like terms: 5x + 4x = 9x -3 + 9x = 3(x + -11) Reorder the terms: -3 + 9x = 3(-11 + x) -3 + 9x = (-11 * 3 + x * 3) -3 + 9x = (-33 + 3x) Solving -3 + 9x = -33 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3 + 9x + -3x = -33 + 3x + -3x Combine like terms: 9x + -3x = 6x -3 + 6x = -33 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + 6x = -33 + 0 -3 + 6x = -33 Add '3' to each side of the equation. -3 + 3 + 6x = -33 + 3 Combine like terms: -3 + 3 = 0 0 + 6x = -33 + 3 6x = -33 + 3 Combine like terms: -33 + 3 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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