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Simplifying -0.5(-2.94 + 3x) = -1.2x (-2.94 * -0.5 + 3x * -0.5) = -1.2x (1.47 + -1.5x) = -1.2x Solving 1.47 + -1.5x = -1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.2x' to each side of the equation. 1.47 + -1.5x + 1.2x = -1.2x + 1.2x Combine like terms: -1.5x + 1.2x = -0.3x 1.47 + -0.3x = -1.2x + 1.2x Combine like terms: -1.2x + 1.2x = 0.0 1.47 + -0.3x = 0.0 Add '-1.47' to each side of the equation. 1.47 + -1.47 + -0.3x = 0.0 + -1.47 Combine like terms: 1.47 + -1.47 = 0.00 0.00 + -0.3x = 0.0 + -1.47 -0.3x = 0.0 + -1.47 Combine like terms: 0.0 + -1.47 = -1.47 -0.3x = -1.47 Divide each side by '-0.3'. x = 4.9 Simplifying x = 4.9
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