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Simplifying 4(2x + -7) + -2x = 4(x + 6) Reorder the terms: 4(-7 + 2x) + -2x = 4(x + 6) (-7 * 4 + 2x * 4) + -2x = 4(x + 6) (-28 + 8x) + -2x = 4(x + 6) Combine like terms: 8x + -2x = 6x -28 + 6x = 4(x + 6) Reorder the terms: -28 + 6x = 4(6 + x) -28 + 6x = (6 * 4 + x * 4) -28 + 6x = (24 + 4x) Solving -28 + 6x = 24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -28 + 6x + -4x = 24 + 4x + -4x Combine like terms: 6x + -4x = 2x -28 + 2x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 -28 + 2x = 24 + 0 -28 + 2x = 24 Add '28' to each side of the equation. -28 + 28 + 2x = 24 + 28 Combine like terms: -28 + 28 = 0 0 + 2x = 24 + 28 2x = 24 + 28 Combine like terms: 24 + 28 = 52 2x = 52 Divide each side by '2'. x = 26 Simplifying x = 26
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