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Simplifying 6x + 5(x + 2) = 3x + -45 Reorder the terms: 6x + 5(2 + x) = 3x + -45 6x + (2 * 5 + x * 5) = 3x + -45 6x + (10 + 5x) = 3x + -45 Reorder the terms: 10 + 6x + 5x = 3x + -45 Combine like terms: 6x + 5x = 11x 10 + 11x = 3x + -45 Reorder the terms: 10 + 11x = -45 + 3x Solving 10 + 11x = -45 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + 11x + -3x = -45 + 3x + -3x Combine like terms: 11x + -3x = 8x 10 + 8x = -45 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 8x = -45 + 0 10 + 8x = -45 Add '-10' to each side of the equation. 10 + -10 + 8x = -45 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = -45 + -10 8x = -45 + -10 Combine like terms: -45 + -10 = -55 8x = -55 Divide each side by '8'. x = -6.875 Simplifying x = -6.875
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