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Simplifying 5(x + 2) + -4x = 3(x + 1) + -9x Reorder the terms: 5(2 + x) + -4x = 3(x + 1) + -9x (2 * 5 + x * 5) + -4x = 3(x + 1) + -9x (10 + 5x) + -4x = 3(x + 1) + -9x Combine like terms: 5x + -4x = 1x 10 + 1x = 3(x + 1) + -9x Reorder the terms: 10 + 1x = 3(1 + x) + -9x 10 + 1x = (1 * 3 + x * 3) + -9x 10 + 1x = (3 + 3x) + -9x Combine like terms: 3x + -9x = -6x 10 + 1x = 3 + -6x Solving 10 + 1x = 3 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 10 + 1x + 6x = 3 + -6x + 6x Combine like terms: 1x + 6x = 7x 10 + 7x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 10 + 7x = 3 + 0 10 + 7x = 3 Add '-10' to each side of the equation. 10 + -10 + 7x = 3 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 3 + -10 7x = 3 + -10 Combine like terms: 3 + -10 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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