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Simplifying 3(x + -2) = (1 + -2x) * 0.3 + -3(2 + -2x) Reorder the terms: 3(-2 + x) = (1 + -2x) * 0.3 + -3(2 + -2x) (-2 * 3 + x * 3) = (1 + -2x) * 0.3 + -3(2 + -2x) (-6 + 3x) = (1 + -2x) * 0.3 + -3(2 + -2x) Reorder the terms for easier multiplication: -6 + 3x = 0.3(1 + -2x) + -3(2 + -2x) -6 + 3x = (1 * 0.3 + -2x * 0.3) + -3(2 + -2x) -6 + 3x = (0.3 + -0.6x) + -3(2 + -2x) -6 + 3x = 0.3 + -0.6x + (2 * -3 + -2x * -3) -6 + 3x = 0.3 + -0.6x + (-6 + 6x) Reorder the terms: -6 + 3x = 0.3 + -6 + -0.6x + 6x Combine like terms: 0.3 + -6 = -5.7 -6 + 3x = -5.7 + -0.6x + 6x Combine like terms: -0.6x + 6x = 5.4x -6 + 3x = -5.7 + 5.4x Solving -6 + 3x = -5.7 + 5.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.4x' to each side of the equation. -6 + 3x + -5.4x = -5.7 + 5.4x + -5.4x Combine like terms: 3x + -5.4x = -2.4x -6 + -2.4x = -5.7 + 5.4x + -5.4x Combine like terms: 5.4x + -5.4x = 0.0 -6 + -2.4x = -5.7 + 0.0 -6 + -2.4x = -5.7 Add '6' to each side of the equation. -6 + 6 + -2.4x = -5.7 + 6 Combine like terms: -6 + 6 = 0 0 + -2.4x = -5.7 + 6 -2.4x = -5.7 + 6 Combine like terms: -5.7 + 6 = 0.3 -2.4x = 0.3 Divide each side by '-2.4'. x = -0.125 Simplifying x = -0.125
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