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Simplifying 3(x + -7) + -11 = 2(4x + 8) Reorder the terms: 3(-7 + x) + -11 = 2(4x + 8) (-7 * 3 + x * 3) + -11 = 2(4x + 8) (-21 + 3x) + -11 = 2(4x + 8) Reorder the terms: -21 + -11 + 3x = 2(4x + 8) Combine like terms: -21 + -11 = -32 -32 + 3x = 2(4x + 8) Reorder the terms: -32 + 3x = 2(8 + 4x) -32 + 3x = (8 * 2 + 4x * 2) -32 + 3x = (16 + 8x) Solving -32 + 3x = 16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -32 + 3x + -8x = 16 + 8x + -8x Combine like terms: 3x + -8x = -5x -32 + -5x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 -32 + -5x = 16 + 0 -32 + -5x = 16 Add '32' to each side of the equation. -32 + 32 + -5x = 16 + 32 Combine like terms: -32 + 32 = 0 0 + -5x = 16 + 32 -5x = 16 + 32 Combine like terms: 16 + 32 = 48 -5x = 48 Divide each side by '-5'. x = -9.6 Simplifying x = -9.6
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