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Simplifying 9x + 5(5x + 11) = 3x + 2(8x + -4) Reorder the terms: 9x + 5(11 + 5x) = 3x + 2(8x + -4) 9x + (11 * 5 + 5x * 5) = 3x + 2(8x + -4) 9x + (55 + 25x) = 3x + 2(8x + -4) Reorder the terms: 55 + 9x + 25x = 3x + 2(8x + -4) Combine like terms: 9x + 25x = 34x 55 + 34x = 3x + 2(8x + -4) Reorder the terms: 55 + 34x = 3x + 2(-4 + 8x) 55 + 34x = 3x + (-4 * 2 + 8x * 2) 55 + 34x = 3x + (-8 + 16x) Reorder the terms: 55 + 34x = -8 + 3x + 16x Combine like terms: 3x + 16x = 19x 55 + 34x = -8 + 19x Solving 55 + 34x = -8 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 55 + 34x + -19x = -8 + 19x + -19x Combine like terms: 34x + -19x = 15x 55 + 15x = -8 + 19x + -19x Combine like terms: 19x + -19x = 0 55 + 15x = -8 + 0 55 + 15x = -8 Add '-55' to each side of the equation. 55 + -55 + 15x = -8 + -55 Combine like terms: 55 + -55 = 0 0 + 15x = -8 + -55 15x = -8 + -55 Combine like terms: -8 + -55 = -63 15x = -63 Divide each side by '15'. x = -4.2 Simplifying x = -4.2
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