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Simplifying 6x + -2(x + 4) = 8(x + -2) + 6 Reorder the terms: 6x + -2(4 + x) = 8(x + -2) + 6 6x + (4 * -2 + x * -2) = 8(x + -2) + 6 6x + (-8 + -2x) = 8(x + -2) + 6 Reorder the terms: -8 + 6x + -2x = 8(x + -2) + 6 Combine like terms: 6x + -2x = 4x -8 + 4x = 8(x + -2) + 6 Reorder the terms: -8 + 4x = 8(-2 + x) + 6 -8 + 4x = (-2 * 8 + x * 8) + 6 -8 + 4x = (-16 + 8x) + 6 Reorder the terms: -8 + 4x = -16 + 6 + 8x Combine like terms: -16 + 6 = -10 -8 + 4x = -10 + 8x Solving -8 + 4x = -10 + 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. -8 + 4x + -8x = -10 + 8x + -8x Combine like terms: 4x + -8x = -4x -8 + -4x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -4x = -10 + 0 -8 + -4x = -10 Add '8' to each side of the equation. -8 + 8 + -4x = -10 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = -10 + 8 -4x = -10 + 8 Combine like terms: -10 + 8 = -2 -4x = -2 Divide each side by '-4'. x = 0.5 Simplifying x = 0.5
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