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Simplifying 0.6(4x + 0.5) = 8[0.2x(-2)] + -4 Reorder the terms: 0.6(0.5 + 4x) = 8[0.2x(-2)] + -4 (0.5 * 0.6 + 4x * 0.6) = 8[0.2x(-2)] + -4 (0.3 + 2.4x) = 8[0.2x(-2)] + -4 Reorder the terms for easier multiplication: 0.3 + 2.4x = 8[0.2 * -2x] + -4 Multiply 0.2 * -2 0.3 + 2.4x = 8[-0.4x] + -4 Remove brackets around [-0.4x] 0.3 + 2.4x = 8 * -0.4x + -4 Multiply 8 * -0.4 0.3 + 2.4x = -3.2x + -4 Reorder the terms: 0.3 + 2.4x = -4 + -3.2x Solving 0.3 + 2.4x = -4 + -3.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.2x' to each side of the equation. 0.3 + 2.4x + 3.2x = -4 + -3.2x + 3.2x Combine like terms: 2.4x + 3.2x = 5.6x 0.3 + 5.6x = -4 + -3.2x + 3.2x Combine like terms: -3.2x + 3.2x = 0.0 0.3 + 5.6x = -4 + 0.0 0.3 + 5.6x = -4 Add '-0.3' to each side of the equation. 0.3 + -0.3 + 5.6x = -4 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 5.6x = -4 + -0.3 5.6x = -4 + -0.3 Combine like terms: -4 + -0.3 = -4.3 5.6x = -4.3 Divide each side by '5.6'. x = -0.7678571429 Simplifying x = -0.7678571429
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