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Simplifying 0.2(x + -25.5) + 0.3 = -0.2(x + -16) Reorder the terms: 0.2(-25.5 + x) + 0.3 = -0.2(x + -16) (-25.5 * 0.2 + x * 0.2) + 0.3 = -0.2(x + -16) (-5.1 + 0.2x) + 0.3 = -0.2(x + -16) Reorder the terms: -5.1 + 0.3 + 0.2x = -0.2(x + -16) Combine like terms: -5.1 + 0.3 = -4.8 -4.8 + 0.2x = -0.2(x + -16) Reorder the terms: -4.8 + 0.2x = -0.2(-16 + x) -4.8 + 0.2x = (-16 * -0.2 + x * -0.2) -4.8 + 0.2x = (3.2 + -0.2x) Solving -4.8 + 0.2x = 3.2 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. -4.8 + 0.2x + 0.2x = 3.2 + -0.2x + 0.2x Combine like terms: 0.2x + 0.2x = 0.4x -4.8 + 0.4x = 3.2 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -4.8 + 0.4x = 3.2 + 0.0 -4.8 + 0.4x = 3.2 Add '4.8' to each side of the equation. -4.8 + 4.8 + 0.4x = 3.2 + 4.8 Combine like terms: -4.8 + 4.8 = 0.0 0.0 + 0.4x = 3.2 + 4.8 0.4x = 3.2 + 4.8 Combine like terms: 3.2 + 4.8 = 8 0.4x = 8 Divide each side by '0.4'. x = 20 Simplifying x = 20
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