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Simplifying 2(0.2x + -3) + x = 4(0.25x + -0.5) Reorder the terms: 2(-3 + 0.2x) + x = 4(0.25x + -0.5) (-3 * 2 + 0.2x * 2) + x = 4(0.25x + -0.5) (-6 + 0.4x) + x = 4(0.25x + -0.5) Combine like terms: 0.4x + x = 1.4x -6 + 1.4x = 4(0.25x + -0.5) Reorder the terms: -6 + 1.4x = 4(-0.5 + 0.25x) -6 + 1.4x = (-0.5 * 4 + 0.25x * 4) -6 + 1.4x = (-2 + 1x) Solving -6 + 1.4x = -2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + 1.4x + -1x = -2 + 1x + -1x Combine like terms: 1.4x + -1x = 0.4x -6 + 0.4x = -2 + 1x + -1x Combine like terms: 1x + -1x = 0 -6 + 0.4x = -2 + 0 -6 + 0.4x = -2 Add '6' to each side of the equation. -6 + 6 + 0.4x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 0.4x = -2 + 6 0.4x = -2 + 6 Combine like terms: -2 + 6 = 4 0.4x = 4 Divide each side by '0.4'. x = 10 Simplifying x = 10
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