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Simplifying 0.61x + 5 = 0.3x + -0.6(2x + 5) Reorder the terms: 5 + 0.61x = 0.3x + -0.6(2x + 5) Reorder the terms: 5 + 0.61x = 0.3x + -0.6(5 + 2x) 5 + 0.61x = 0.3x + (5 * -0.6 + 2x * -0.6) 5 + 0.61x = 0.3x + (-3 + -1.2x) Reorder the terms: 5 + 0.61x = -3 + 0.3x + -1.2x Combine like terms: 0.3x + -1.2x = -0.9x 5 + 0.61x = -3 + -0.9x Solving 5 + 0.61x = -3 + -0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9x' to each side of the equation. 5 + 0.61x + 0.9x = -3 + -0.9x + 0.9x Combine like terms: 0.61x + 0.9x = 1.51x 5 + 1.51x = -3 + -0.9x + 0.9x Combine like terms: -0.9x + 0.9x = 0.0 5 + 1.51x = -3 + 0.0 5 + 1.51x = -3 Add '-5' to each side of the equation. 5 + -5 + 1.51x = -3 + -5 Combine like terms: 5 + -5 = 0 0 + 1.51x = -3 + -5 1.51x = -3 + -5 Combine like terms: -3 + -5 = -8 1.51x = -8 Divide each side by '1.51'. x = -5.298013245 Simplifying x = -5.298013245
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