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Simplifying 4(x + 2) + 7x = 9x + 5(2x + -1) Reorder the terms: 4(2 + x) + 7x = 9x + 5(2x + -1) (2 * 4 + x * 4) + 7x = 9x + 5(2x + -1) (8 + 4x) + 7x = 9x + 5(2x + -1) Combine like terms: 4x + 7x = 11x 8 + 11x = 9x + 5(2x + -1) Reorder the terms: 8 + 11x = 9x + 5(-1 + 2x) 8 + 11x = 9x + (-1 * 5 + 2x * 5) 8 + 11x = 9x + (-5 + 10x) Reorder the terms: 8 + 11x = -5 + 9x + 10x Combine like terms: 9x + 10x = 19x 8 + 11x = -5 + 19x Solving 8 + 11x = -5 + 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. 8 + 11x + -19x = -5 + 19x + -19x Combine like terms: 11x + -19x = -8x 8 + -8x = -5 + 19x + -19x Combine like terms: 19x + -19x = 0 8 + -8x = -5 + 0 8 + -8x = -5 Add '-8' to each side of the equation. 8 + -8 + -8x = -5 + -8 Combine like terms: 8 + -8 = 0 0 + -8x = -5 + -8 -8x = -5 + -8 Combine like terms: -5 + -8 = -13 -8x = -13 Divide each side by '-8'. x = 1.625 Simplifying x = 1.625
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