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Simplifying 4(4 + 4) + 4x + -6 + 2 + -2(x + 3x) = -17 Combine like terms: 4 + 4 = 8 4(8) + 4x + -6 + 2 + -2(x + 3x) = -17 Multiply 4 * 8 32 + 4x + -6 + 2 + -2(x + 3x) = -17 Combine like terms: x + 3x = 4x 32 + 4x + -6 + 2 + -2(4x) = -17 Remove parenthesis around (4x) 32 + 4x + -6 + 2 + -2 * 4x = -17 Multiply -2 * 4 32 + 4x + -6 + 2 + -8x = -17 Reorder the terms: 32 + -6 + 2 + 4x + -8x = -17 Combine like terms: 32 + -6 = 26 26 + 2 + 4x + -8x = -17 Combine like terms: 26 + 2 = 28 28 + 4x + -8x = -17 Combine like terms: 4x + -8x = -4x 28 + -4x = -17 Solving 28 + -4x = -17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -4x = -17 + -28 Combine like terms: 28 + -28 = 0 0 + -4x = -17 + -28 -4x = -17 + -28 Combine like terms: -17 + -28 = -45 -4x = -45 Divide each side by '-4'. x = 11.25 Simplifying x = 11.25
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