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Simplifying 6x + -8 = 4(2x + -7) Reorder the terms: -8 + 6x = 4(2x + -7) Reorder the terms: -8 + 6x = 4(-7 + 2x) -8 + 6x = (-7 * 4 + 2x * 4) -8 + 6x = (-28 + 8x) Solving -8 + 6x = -28 + 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 + 6x + -8x = -28 + 8x + -8x Combine like terms: 6x + -8x = -2x -8 + -2x = -28 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -2x = -28 + 0 -8 + -2x = -28 Add '8' to each side of the equation. -8 + 8 + -2x = -28 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = -28 + 8 -2x = -28 + 8 Combine like terms: -28 + 8 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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