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Simplifying 0.3(7x + 5) = 3x + -5 Reorder the terms: 0.3(5 + 7x) = 3x + -5 (5 * 0.3 + 7x * 0.3) = 3x + -5 (1.5 + 2.1x) = 3x + -5 Reorder the terms: 1.5 + 2.1x = -5 + 3x Solving 1.5 + 2.1x = -5 + 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. 1.5 + 2.1x + -3x = -5 + 3x + -3x Combine like terms: 2.1x + -3x = -0.9x 1.5 + -0.9x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 1.5 + -0.9x = -5 + 0 1.5 + -0.9x = -5 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -0.9x = -5 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -0.9x = -5 + -1.5 -0.9x = -5 + -1.5 Combine like terms: -5 + -1.5 = -6.5 -0.9x = -6.5 Divide each side by '-0.9'. x = 7.222222222 Simplifying x = 7.222222222
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