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Simplifying 0.3(4x + -2) = 0.9(x + 2) Reorder the terms: 0.3(-2 + 4x) = 0.9(x + 2) (-2 * 0.3 + 4x * 0.3) = 0.9(x + 2) (-0.6 + 1.2x) = 0.9(x + 2) Reorder the terms: -0.6 + 1.2x = 0.9(2 + x) -0.6 + 1.2x = (2 * 0.9 + x * 0.9) -0.6 + 1.2x = (1.8 + 0.9x) Solving -0.6 + 1.2x = 1.8 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. -0.6 + 1.2x + -0.9x = 1.8 + 0.9x + -0.9x Combine like terms: 1.2x + -0.9x = 0.3x -0.6 + 0.3x = 1.8 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 -0.6 + 0.3x = 1.8 + 0.0 -0.6 + 0.3x = 1.8 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.3x = 1.8 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.3x = 1.8 + 0.6 0.3x = 1.8 + 0.6 Combine like terms: 1.8 + 0.6 = 2.4 0.3x = 2.4 Divide each side by '0.3'. x = 8 Simplifying x = 8
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