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Simplifying 4(x + 1) + 3(x + 4) + 1 = -64 + -2x Reorder the terms: 4(1 + x) + 3(x + 4) + 1 = -64 + -2x (1 * 4 + x * 4) + 3(x + 4) + 1 = -64 + -2x (4 + 4x) + 3(x + 4) + 1 = -64 + -2x Reorder the terms: 4 + 4x + 3(4 + x) + 1 = -64 + -2x 4 + 4x + (4 * 3 + x * 3) + 1 = -64 + -2x 4 + 4x + (12 + 3x) + 1 = -64 + -2x Reorder the terms: 4 + 12 + 1 + 4x + 3x = -64 + -2x Combine like terms: 4 + 12 = 16 16 + 1 + 4x + 3x = -64 + -2x Combine like terms: 16 + 1 = 17 17 + 4x + 3x = -64 + -2x Combine like terms: 4x + 3x = 7x 17 + 7x = -64 + -2x Solving 17 + 7x = -64 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 17 + 7x + 2x = -64 + -2x + 2x Combine like terms: 7x + 2x = 9x 17 + 9x = -64 + -2x + 2x Combine like terms: -2x + 2x = 0 17 + 9x = -64 + 0 17 + 9x = -64 Add '-17' to each side of the equation. 17 + -17 + 9x = -64 + -17 Combine like terms: 17 + -17 = 0 0 + 9x = -64 + -17 9x = -64 + -17 Combine like terms: -64 + -17 = -81 9x = -81 Divide each side by '9'. x = -9 Simplifying x = -9
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