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Simplifying 1.5(x + -4) = 0.3(2x + -6) Reorder the terms: 1.5(-4 + x) = 0.3(2x + -6) (-4 * 1.5 + x * 1.5) = 0.3(2x + -6) (-6 + 1.5x) = 0.3(2x + -6) Reorder the terms: -6 + 1.5x = 0.3(-6 + 2x) -6 + 1.5x = (-6 * 0.3 + 2x * 0.3) -6 + 1.5x = (-1.8 + 0.6x) Solving -6 + 1.5x = -1.8 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. -6 + 1.5x + -0.6x = -1.8 + 0.6x + -0.6x Combine like terms: 1.5x + -0.6x = 0.9x -6 + 0.9x = -1.8 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 -6 + 0.9x = -1.8 + 0.0 -6 + 0.9x = -1.8 Add '6' to each side of the equation. -6 + 6 + 0.9x = -1.8 + 6 Combine like terms: -6 + 6 = 0 0 + 0.9x = -1.8 + 6 0.9x = -1.8 + 6 Combine like terms: -1.8 + 6 = 4.2 0.9x = 4.2 Divide each side by '0.9'. x = 4.666666667 Simplifying x = 4.666666667
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