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Simplifying 4(x + -9) + 17 = 3x + -11 Reorder the terms: 4(-9 + x) + 17 = 3x + -11 (-9 * 4 + x * 4) + 17 = 3x + -11 (-36 + 4x) + 17 = 3x + -11 Reorder the terms: -36 + 17 + 4x = 3x + -11 Combine like terms: -36 + 17 = -19 -19 + 4x = 3x + -11 Reorder the terms: -19 + 4x = -11 + 3x Solving -19 + 4x = -11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -19 + 4x + -3x = -11 + 3x + -3x Combine like terms: 4x + -3x = 1x -19 + 1x = -11 + 3x + -3x Combine like terms: 3x + -3x = 0 -19 + 1x = -11 + 0 -19 + 1x = -11 Add '19' to each side of the equation. -19 + 19 + 1x = -11 + 19 Combine like terms: -19 + 19 = 0 0 + 1x = -11 + 19 1x = -11 + 19 Combine like terms: -11 + 19 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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