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Simplifying 5x + -7 + 2(3x + 6) = -4(x + 1) Reorder the terms: 5x + -7 + 2(6 + 3x) = -4(x + 1) 5x + -7 + (6 * 2 + 3x * 2) = -4(x + 1) 5x + -7 + (12 + 6x) = -4(x + 1) Reorder the terms: -7 + 12 + 5x + 6x = -4(x + 1) Combine like terms: -7 + 12 = 5 5 + 5x + 6x = -4(x + 1) Combine like terms: 5x + 6x = 11x 5 + 11x = -4(x + 1) Reorder the terms: 5 + 11x = -4(1 + x) 5 + 11x = (1 * -4 + x * -4) 5 + 11x = (-4 + -4x) Solving 5 + 11x = -4 + -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. 5 + 11x + 4x = -4 + -4x + 4x Combine like terms: 11x + 4x = 15x 5 + 15x = -4 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + 15x = -4 + 0 5 + 15x = -4 Add '-5' to each side of the equation. 5 + -5 + 15x = -4 + -5 Combine like terms: 5 + -5 = 0 0 + 15x = -4 + -5 15x = -4 + -5 Combine like terms: -4 + -5 = -9 15x = -9 Divide each side by '15'. x = -0.6 Simplifying x = -0.6
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