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Simplifying 0.003(5x + 4) = 0.15(x + 7) + -0.93 Reorder the terms: 0.003(4 + 5x) = 0.15(x + 7) + -0.93 (4 * 0.003 + 5x * 0.003) = 0.15(x + 7) + -0.93 (0.012 + 0.015x) = 0.15(x + 7) + -0.93 Reorder the terms: 0.012 + 0.015x = 0.15(7 + x) + -0.93 0.012 + 0.015x = (7 * 0.15 + x * 0.15) + -0.93 0.012 + 0.015x = (1.05 + 0.15x) + -0.93 Reorder the terms: 0.012 + 0.015x = 1.05 + -0.93 + 0.15x Combine like terms: 1.05 + -0.93 = 0.12 0.012 + 0.015x = 0.12 + 0.15x Solving 0.012 + 0.015x = 0.12 + 0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15x' to each side of the equation. 0.012 + 0.015x + -0.15x = 0.12 + 0.15x + -0.15x Combine like terms: 0.015x + -0.15x = -0.135x 0.012 + -0.135x = 0.12 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 0.012 + -0.135x = 0.12 + 0.00 0.012 + -0.135x = 0.12 Add '-0.012' to each side of the equation. 0.012 + -0.012 + -0.135x = 0.12 + -0.012 Combine like terms: 0.012 + -0.012 = 0.000 0.000 + -0.135x = 0.12 + -0.012 -0.135x = 0.12 + -0.012 Combine like terms: 0.12 + -0.012 = 0.108 -0.135x = 0.108 Divide each side by '-0.135'. x = -0.8 Simplifying x = -0.8
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