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Simplifying 5(3x + 4) + -6 = 2x + -3 + -1(6x + 2) Reorder the terms: 5(4 + 3x) + -6 = 2x + -3 + -1(6x + 2) (4 * 5 + 3x * 5) + -6 = 2x + -3 + -1(6x + 2) (20 + 15x) + -6 = 2x + -3 + -1(6x + 2) Reorder the terms: 20 + -6 + 15x = 2x + -3 + -1(6x + 2) Combine like terms: 20 + -6 = 14 14 + 15x = 2x + -3 + -1(6x + 2) Reorder the terms: 14 + 15x = 2x + -3 + -1(2 + 6x) 14 + 15x = 2x + -3 + (2 * -1 + 6x * -1) 14 + 15x = 2x + -3 + (-2 + -6x) Reorder the terms: 14 + 15x = -3 + -2 + 2x + -6x Combine like terms: -3 + -2 = -5 14 + 15x = -5 + 2x + -6x Combine like terms: 2x + -6x = -4x 14 + 15x = -5 + -4x Solving 14 + 15x = -5 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 14 + 15x + 4x = -5 + -4x + 4x Combine like terms: 15x + 4x = 19x 14 + 19x = -5 + -4x + 4x Combine like terms: -4x + 4x = 0 14 + 19x = -5 + 0 14 + 19x = -5 Add '-14' to each side of the equation. 14 + -14 + 19x = -5 + -14 Combine like terms: 14 + -14 = 0 0 + 19x = -5 + -14 19x = -5 + -14 Combine like terms: -5 + -14 = -19 19x = -19 Divide each side by '19'. x = -1 Simplifying x = -1
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