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Simplifying 0.2(x + 50) + -6 = 0.4(3x * 10) Reorder the terms: 0.2(50 + x) + -6 = 0.4(3x * 10) (50 * 0.2 + x * 0.2) + -6 = 0.4(3x * 10) (10 + 0.2x) + -6 = 0.4(3x * 10) Reorder the terms: 10 + -6 + 0.2x = 0.4(3x * 10) Combine like terms: 10 + -6 = 4 4 + 0.2x = 0.4(3x * 10) Reorder the terms for easier multiplication: 4 + 0.2x = 0.4(3 * 10x) Multiply 3 * 10 4 + 0.2x = 0.4(30x) Remove parenthesis around (30x) 4 + 0.2x = 0.4 * 30x Multiply 0.4 * 30 4 + 0.2x = 12x Solving 4 + 0.2x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 4 + 0.2x + -12x = 12x + -12x Combine like terms: 0.2x + -12x = -11.8x 4 + -11.8x = 12x + -12x Combine like terms: 12x + -12x = 0 4 + -11.8x = 0 Add '-4' to each side of the equation. 4 + -4 + -11.8x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -11.8x = 0 + -4 -11.8x = 0 + -4 Combine like terms: 0 + -4 = -4 -11.8x = -4 Divide each side by '-11.8'. x = 0.3389830508 Simplifying x = 0.3389830508
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