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Simplifying 4 + -5(3x + -2) + 6x = 7 + -1(5x + 1) + 3 + -5x Reorder the terms: 4 + -5(-2 + 3x) + 6x = 7 + -1(5x + 1) + 3 + -5x 4 + (-2 * -5 + 3x * -5) + 6x = 7 + -1(5x + 1) + 3 + -5x 4 + (10 + -15x) + 6x = 7 + -1(5x + 1) + 3 + -5x Combine like terms: 4 + 10 = 14 14 + -15x + 6x = 7 + -1(5x + 1) + 3 + -5x Combine like terms: -15x + 6x = -9x 14 + -9x = 7 + -1(5x + 1) + 3 + -5x Reorder the terms: 14 + -9x = 7 + -1(1 + 5x) + 3 + -5x 14 + -9x = 7 + (1 * -1 + 5x * -1) + 3 + -5x 14 + -9x = 7 + (-1 + -5x) + 3 + -5x Reorder the terms: 14 + -9x = 7 + -1 + 3 + -5x + -5x Combine like terms: 7 + -1 = 6 14 + -9x = 6 + 3 + -5x + -5x Combine like terms: 6 + 3 = 9 14 + -9x = 9 + -5x + -5x Combine like terms: -5x + -5x = -10x 14 + -9x = 9 + -10x Solving 14 + -9x = 9 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 14 + -9x + 10x = 9 + -10x + 10x Combine like terms: -9x + 10x = 1x 14 + 1x = 9 + -10x + 10x Combine like terms: -10x + 10x = 0 14 + 1x = 9 + 0 14 + 1x = 9 Add '-14' to each side of the equation. 14 + -14 + 1x = 9 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 9 + -14 1x = 9 + -14 Combine like terms: 9 + -14 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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