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Simplifying 0.5(6x + -3) = 10.5x Reorder the terms: 0.5(-3 + 6x) = 10.5x (-3 * 0.5 + 6x * 0.5) = 10.5x (-1.5 + 3x) = 10.5x Solving -1.5 + 3x = 10.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.5x' to each side of the equation. -1.5 + 3x + -10.5x = 10.5x + -10.5x Combine like terms: 3x + -10.5x = -7.5x -1.5 + -7.5x = 10.5x + -10.5x Combine like terms: 10.5x + -10.5x = 0.0 -1.5 + -7.5x = 0.0 Add '1.5' to each side of the equation. -1.5 + 1.5 + -7.5x = 0.0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -7.5x = 0.0 + 1.5 -7.5x = 0.0 + 1.5 Combine like terms: 0.0 + 1.5 = 1.5 -7.5x = 1.5 Divide each side by '-7.5'. x = -0.2 Simplifying x = -0.2
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