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Simplifying 3(x + -1) + -4(x + 7) = 5(x + -11) Reorder the terms: 3(-1 + x) + -4(x + 7) = 5(x + -11) (-1 * 3 + x * 3) + -4(x + 7) = 5(x + -11) (-3 + 3x) + -4(x + 7) = 5(x + -11) Reorder the terms: -3 + 3x + -4(7 + x) = 5(x + -11) -3 + 3x + (7 * -4 + x * -4) = 5(x + -11) -3 + 3x + (-28 + -4x) = 5(x + -11) Reorder the terms: -3 + -28 + 3x + -4x = 5(x + -11) Combine like terms: -3 + -28 = -31 -31 + 3x + -4x = 5(x + -11) Combine like terms: 3x + -4x = -1x -31 + -1x = 5(x + -11) Reorder the terms: -31 + -1x = 5(-11 + x) -31 + -1x = (-11 * 5 + x * 5) -31 + -1x = (-55 + 5x) Solving -31 + -1x = -55 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -31 + -1x + -5x = -55 + 5x + -5x Combine like terms: -1x + -5x = -6x -31 + -6x = -55 + 5x + -5x Combine like terms: 5x + -5x = 0 -31 + -6x = -55 + 0 -31 + -6x = -55 Add '31' to each side of the equation. -31 + 31 + -6x = -55 + 31 Combine like terms: -31 + 31 = 0 0 + -6x = -55 + 31 -6x = -55 + 31 Combine like terms: -55 + 31 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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