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Simplifying 4x + -5 + 2(2x) + 17 = -2 + -5x(9 + -5) Remove parenthesis around (2x) 4x + -5 + 2 * 2x + 17 = -2 + -5x(9 + -5) Multiply 2 * 2 4x + -5 + 4x + 17 = -2 + -5x(9 + -5) Reorder the terms: -5 + 17 + 4x + 4x = -2 + -5x(9 + -5) Combine like terms: -5 + 17 = 12 12 + 4x + 4x = -2 + -5x(9 + -5) Combine like terms: 4x + 4x = 8x 12 + 8x = -2 + -5x(9 + -5) Combine like terms: 9 + -5 = 4 12 + 8x = -2 + -5x(4) Reorder the terms for easier multiplication: 12 + 8x = -2 + -5 * 4x Multiply -5 * 4 12 + 8x = -2 + -20x Solving 12 + 8x = -2 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 12 + 8x + 20x = -2 + -20x + 20x Combine like terms: 8x + 20x = 28x 12 + 28x = -2 + -20x + 20x Combine like terms: -20x + 20x = 0 12 + 28x = -2 + 0 12 + 28x = -2 Add '-12' to each side of the equation. 12 + -12 + 28x = -2 + -12 Combine like terms: 12 + -12 = 0 0 + 28x = -2 + -12 28x = -2 + -12 Combine like terms: -2 + -12 = -14 28x = -14 Divide each side by '28'. x = -0.5 Simplifying x = -0.5
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