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Simplifying 0.3x + -4 = -0.1(x + -10) Reorder the terms: -4 + 0.3x = -0.1(x + -10) Reorder the terms: -4 + 0.3x = -0.1(-10 + x) -4 + 0.3x = (-10 * -0.1 + x * -0.1) -4 + 0.3x = (1 + -0.1x) Solving -4 + 0.3x = 1 + -0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1x' to each side of the equation. -4 + 0.3x + 0.1x = 1 + -0.1x + 0.1x Combine like terms: 0.3x + 0.1x = 0.4x -4 + 0.4x = 1 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 -4 + 0.4x = 1 + 0.0 -4 + 0.4x = 1 Add '4' to each side of the equation. -4 + 4 + 0.4x = 1 + 4 Combine like terms: -4 + 4 = 0 0 + 0.4x = 1 + 4 0.4x = 1 + 4 Combine like terms: 1 + 4 = 5 0.4x = 5 Divide each side by '0.4'. x = 12.5 Simplifying x = 12.5
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