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Simplifying 4(7 + 2x) * 0.10 = 6x Reorder the terms for easier multiplication: 4 * 0.10(7 + 2x) = 6x Multiply 4 * 0.10 0.4(7 + 2x) = 6x (7 * 0.4 + 2x * 0.4) = 6x (2.8 + 0.8x) = 6x Solving 2.8 + 0.8x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2.8 + 0.8x + -6x = 6x + -6x Combine like terms: 0.8x + -6x = -5.2x 2.8 + -5.2x = 6x + -6x Combine like terms: 6x + -6x = 0 2.8 + -5.2x = 0 Add '-2.8' to each side of the equation. 2.8 + -2.8 + -5.2x = 0 + -2.8 Combine like terms: 2.8 + -2.8 = 0.0 0.0 + -5.2x = 0 + -2.8 -5.2x = 0 + -2.8 Combine like terms: 0 + -2.8 = -2.8 -5.2x = -2.8 Divide each side by '-5.2'. x = 0.5384615385 Simplifying x = 0.5384615385
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