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Simplifying 5(x + -7) + 11 = 2x + -3(x + 4) Reorder the terms: 5(-7 + x) + 11 = 2x + -3(x + 4) (-7 * 5 + x * 5) + 11 = 2x + -3(x + 4) (-35 + 5x) + 11 = 2x + -3(x + 4) Reorder the terms: -35 + 11 + 5x = 2x + -3(x + 4) Combine like terms: -35 + 11 = -24 -24 + 5x = 2x + -3(x + 4) Reorder the terms: -24 + 5x = 2x + -3(4 + x) -24 + 5x = 2x + (4 * -3 + x * -3) -24 + 5x = 2x + (-12 + -3x) Reorder the terms: -24 + 5x = -12 + 2x + -3x Combine like terms: 2x + -3x = -1x -24 + 5x = -12 + -1x Solving -24 + 5x = -12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -24 + 5x + x = -12 + -1x + x Combine like terms: 5x + x = 6x -24 + 6x = -12 + -1x + x Combine like terms: -1x + x = 0 -24 + 6x = -12 + 0 -24 + 6x = -12 Add '24' to each side of the equation. -24 + 24 + 6x = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 6x = -12 + 24 6x = -12 + 24 Combine like terms: -12 + 24 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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