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Simplifying 3x + 5 + -8(x + 2) = 6x + 3(x + -4) Reorder the terms: 3x + 5 + -8(2 + x) = 6x + 3(x + -4) 3x + 5 + (2 * -8 + x * -8) = 6x + 3(x + -4) 3x + 5 + (-16 + -8x) = 6x + 3(x + -4) Reorder the terms: 5 + -16 + 3x + -8x = 6x + 3(x + -4) Combine like terms: 5 + -16 = -11 -11 + 3x + -8x = 6x + 3(x + -4) Combine like terms: 3x + -8x = -5x -11 + -5x = 6x + 3(x + -4) Reorder the terms: -11 + -5x = 6x + 3(-4 + x) -11 + -5x = 6x + (-4 * 3 + x * 3) -11 + -5x = 6x + (-12 + 3x) Reorder the terms: -11 + -5x = -12 + 6x + 3x Combine like terms: 6x + 3x = 9x -11 + -5x = -12 + 9x Solving -11 + -5x = -12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -11 + -5x + -9x = -12 + 9x + -9x Combine like terms: -5x + -9x = -14x -11 + -14x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 -11 + -14x = -12 + 0 -11 + -14x = -12 Add '11' to each side of the equation. -11 + 11 + -14x = -12 + 11 Combine like terms: -11 + 11 = 0 0 + -14x = -12 + 11 -14x = -12 + 11 Combine like terms: -12 + 11 = -1 -14x = -1 Divide each side by '-14'. x = 0.07142857143 Simplifying x = 0.07142857143
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