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Simplifying 0.2(3x + 3) = 6(8x + -3) Reorder the terms: 0.2(3 + 3x) = 6(8x + -3) (3 * 0.2 + 3x * 0.2) = 6(8x + -3) (0.6 + 0.6x) = 6(8x + -3) Reorder the terms: 0.6 + 0.6x = 6(-3 + 8x) 0.6 + 0.6x = (-3 * 6 + 8x * 6) 0.6 + 0.6x = (-18 + 48x) Solving 0.6 + 0.6x = -18 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 0.6 + 0.6x + -48x = -18 + 48x + -48x Combine like terms: 0.6x + -48x = -47.4x 0.6 + -47.4x = -18 + 48x + -48x Combine like terms: 48x + -48x = 0 0.6 + -47.4x = -18 + 0 0.6 + -47.4x = -18 Add '-0.6' to each side of the equation. 0.6 + -0.6 + -47.4x = -18 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -47.4x = -18 + -0.6 -47.4x = -18 + -0.6 Combine like terms: -18 + -0.6 = -18.6 -47.4x = -18.6 Divide each side by '-47.4'. x = 0.3924050633 Simplifying x = 0.3924050633
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