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Simplifying 4(x + 3) + -3(x + -8) = 17 Reorder the terms: 4(3 + x) + -3(x + -8) = 17 (3 * 4 + x * 4) + -3(x + -8) = 17 (12 + 4x) + -3(x + -8) = 17 Reorder the terms: 12 + 4x + -3(-8 + x) = 17 12 + 4x + (-8 * -3 + x * -3) = 17 12 + 4x + (24 + -3x) = 17 Reorder the terms: 12 + 24 + 4x + -3x = 17 Combine like terms: 12 + 24 = 36 36 + 4x + -3x = 17 Combine like terms: 4x + -3x = 1x 36 + 1x = 17 Solving 36 + 1x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 1x = 17 + -36 Combine like terms: 36 + -36 = 0 0 + 1x = 17 + -36 1x = 17 + -36 Combine like terms: 17 + -36 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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