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Simplifying 6(x + 1) = 4(2x + -7) Reorder the terms: 6(1 + x) = 4(2x + -7) (1 * 6 + x * 6) = 4(2x + -7) (6 + 6x) = 4(2x + -7) Reorder the terms: 6 + 6x = 4(-7 + 2x) 6 + 6x = (-7 * 4 + 2x * 4) 6 + 6x = (-28 + 8x) Solving 6 + 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. 6 + 6x + -8x = -28 + 8x + -8x Combine like terms: 6x + -8x = -2x 6 + -2x = -28 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -2x = -28 + 0 6 + -2x = -28 Add '-6' to each side of the equation. 6 + -6 + -2x = -28 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = -28 + -6 -2x = -28 + -6 Combine like terms: -28 + -6 = -34 -2x = -34 Divide each side by '-2'. x = 17 Simplifying x = 17
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