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Simplifying 0.2(3x + -4) = 2(19.7 + 7x) Reorder the terms: 0.2(-4 + 3x) = 2(19.7 + 7x) (-4 * 0.2 + 3x * 0.2) = 2(19.7 + 7x) (-0.8 + 0.6x) = 2(19.7 + 7x) -0.8 + 0.6x = (19.7 * 2 + 7x * 2) -0.8 + 0.6x = (39.4 + 14x) Solving -0.8 + 0.6x = 39.4 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -0.8 + 0.6x + -14x = 39.4 + 14x + -14x Combine like terms: 0.6x + -14x = -13.4x -0.8 + -13.4x = 39.4 + 14x + -14x Combine like terms: 14x + -14x = 0 -0.8 + -13.4x = 39.4 + 0 -0.8 + -13.4x = 39.4 Add '0.8' to each side of the equation. -0.8 + 0.8 + -13.4x = 39.4 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + -13.4x = 39.4 + 0.8 -13.4x = 39.4 + 0.8 Combine like terms: 39.4 + 0.8 = 40.2 -13.4x = 40.2 Divide each side by '-13.4'. x = -3 Simplifying x = -3
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