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Simplifying 0.2(2x + -10) + 4x = -3(0.2x + 4) Reorder the terms: 0.2(-10 + 2x) + 4x = -3(0.2x + 4) (-10 * 0.2 + 2x * 0.2) + 4x = -3(0.2x + 4) (-2 + 0.4x) + 4x = -3(0.2x + 4) Combine like terms: 0.4x + 4x = 4.4x -2 + 4.4x = -3(0.2x + 4) Reorder the terms: -2 + 4.4x = -3(4 + 0.2x) -2 + 4.4x = (4 * -3 + 0.2x * -3) -2 + 4.4x = (-12 + -0.6x) Solving -2 + 4.4x = -12 + -0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6x' to each side of the equation. -2 + 4.4x + 0.6x = -12 + -0.6x + 0.6x Combine like terms: 4.4x + 0.6x = 5x -2 + 5x = -12 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 -2 + 5x = -12 + 0.0 -2 + 5x = -12 Add '2' to each side of the equation. -2 + 2 + 5x = -12 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = -12 + 2 5x = -12 + 2 Combine like terms: -12 + 2 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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