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Simplifying 10(x + -3) = 100(4x + -2) Reorder the terms: 10(-3 + x) = 100(4x + -2) (-3 * 10 + x * 10) = 100(4x + -2) (-30 + 10x) = 100(4x + -2) Reorder the terms: -30 + 10x = 100(-2 + 4x) -30 + 10x = (-2 * 100 + 4x * 100) -30 + 10x = (-200 + 400x) Solving -30 + 10x = -200 + 400x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-400x' to each side of the equation. -30 + 10x + -400x = -200 + 400x + -400x Combine like terms: 10x + -400x = -390x -30 + -390x = -200 + 400x + -400x Combine like terms: 400x + -400x = 0 -30 + -390x = -200 + 0 -30 + -390x = -200 Add '30' to each side of the equation. -30 + 30 + -390x = -200 + 30 Combine like terms: -30 + 30 = 0 0 + -390x = -200 + 30 -390x = -200 + 30 Combine like terms: -200 + 30 = -170 -390x = -170 Divide each side by '-390'. x = 0.4358974359 Simplifying x = 0.4358974359
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