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Simplifying 5(3 + x) + (2 + x) = 0.3(x + 1) (3 * 5 + x * 5) + (2 + x) = 0.3(x + 1) (15 + 5x) + (2 + x) = 0.3(x + 1) Remove parenthesis around (2 + x) 15 + 5x + 2 + x = 0.3(x + 1) Reorder the terms: 15 + 2 + 5x + x = 0.3(x + 1) Combine like terms: 15 + 2 = 17 17 + 5x + x = 0.3(x + 1) Combine like terms: 5x + x = 6x 17 + 6x = 0.3(x + 1) Reorder the terms: 17 + 6x = 0.3(1 + x) 17 + 6x = (1 * 0.3 + x * 0.3) 17 + 6x = (0.3 + 0.3x) Solving 17 + 6x = 0.3 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 17 + 6x + -0.3x = 0.3 + 0.3x + -0.3x Combine like terms: 6x + -0.3x = 5.7x 17 + 5.7x = 0.3 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 17 + 5.7x = 0.3 + 0.0 17 + 5.7x = 0.3 Add '-17' to each side of the equation. 17 + -17 + 5.7x = 0.3 + -17 Combine like terms: 17 + -17 = 0 0 + 5.7x = 0.3 + -17 5.7x = 0.3 + -17 Combine like terms: 0.3 + -17 = -16.7 5.7x = -16.7 Divide each side by '5.7'. x = -2.929824561 Simplifying x = -2.929824561
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