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Simplifying 0.3(2x + -5) = 2(3x + -2) Reorder the terms: 0.3(-5 + 2x) = 2(3x + -2) (-5 * 0.3 + 2x * 0.3) = 2(3x + -2) (-1.5 + 0.6x) = 2(3x + -2) Reorder the terms: -1.5 + 0.6x = 2(-2 + 3x) -1.5 + 0.6x = (-2 * 2 + 3x * 2) -1.5 + 0.6x = (-4 + 6x) Solving -1.5 + 0.6x = -4 + 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. -1.5 + 0.6x + -6x = -4 + 6x + -6x Combine like terms: 0.6x + -6x = -5.4x -1.5 + -5.4x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -1.5 + -5.4x = -4 + 0 -1.5 + -5.4x = -4 Add '1.5' to each side of the equation. -1.5 + 1.5 + -5.4x = -4 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -5.4x = -4 + 1.5 -5.4x = -4 + 1.5 Combine like terms: -4 + 1.5 = -2.5 -5.4x = -2.5 Divide each side by '-5.4'. x = 0.462962963 Simplifying x = 0.462962963
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