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Simplifying 2(x + -8) + -3x = 6 + -3(x + 4) Reorder the terms: 2(-8 + x) + -3x = 6 + -3(x + 4) (-8 * 2 + x * 2) + -3x = 6 + -3(x + 4) (-16 + 2x) + -3x = 6 + -3(x + 4) Combine like terms: 2x + -3x = -1x -16 + -1x = 6 + -3(x + 4) Reorder the terms: -16 + -1x = 6 + -3(4 + x) -16 + -1x = 6 + (4 * -3 + x * -3) -16 + -1x = 6 + (-12 + -3x) Combine like terms: 6 + -12 = -6 -16 + -1x = -6 + -3x Solving -16 + -1x = -6 + -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. -16 + -1x + 3x = -6 + -3x + 3x Combine like terms: -1x + 3x = 2x -16 + 2x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 -16 + 2x = -6 + 0 -16 + 2x = -6 Add '16' to each side of the equation. -16 + 16 + 2x = -6 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = -6 + 16 2x = -6 + 16 Combine like terms: -6 + 16 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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