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Simplifying 8x + -6(2x + 1) = 7 + -5(2 + -3x) Reorder the terms: 8x + -6(1 + 2x) = 7 + -5(2 + -3x) 8x + (1 * -6 + 2x * -6) = 7 + -5(2 + -3x) 8x + (-6 + -12x) = 7 + -5(2 + -3x) Reorder the terms: -6 + 8x + -12x = 7 + -5(2 + -3x) Combine like terms: 8x + -12x = -4x -6 + -4x = 7 + -5(2 + -3x) -6 + -4x = 7 + (2 * -5 + -3x * -5) -6 + -4x = 7 + (-10 + 15x) Combine like terms: 7 + -10 = -3 -6 + -4x = -3 + 15x Solving -6 + -4x = -3 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -6 + -4x + -15x = -3 + 15x + -15x Combine like terms: -4x + -15x = -19x -6 + -19x = -3 + 15x + -15x Combine like terms: 15x + -15x = 0 -6 + -19x = -3 + 0 -6 + -19x = -3 Add '6' to each side of the equation. -6 + 6 + -19x = -3 + 6 Combine like terms: -6 + 6 = 0 0 + -19x = -3 + 6 -19x = -3 + 6 Combine like terms: -3 + 6 = 3 -19x = 3 Divide each side by '-19'. x = -0.1578947368 Simplifying x = -0.1578947368
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