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Simplifying 0.1(x + 50) = -3x + -13 + 4x Reorder the terms: 0.1(50 + x) = -3x + -13 + 4x (50 * 0.1 + x * 0.1) = -3x + -13 + 4x (5 + 0.1x) = -3x + -13 + 4x Reorder the terms: 5 + 0.1x = -13 + -3x + 4x Combine like terms: -3x + 4x = 1x 5 + 0.1x = -13 + 1x Solving 5 + 0.1x = -13 + 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. 5 + 0.1x + -1x = -13 + 1x + -1x Combine like terms: 0.1x + -1x = -0.9x 5 + -0.9x = -13 + 1x + -1x Combine like terms: 1x + -1x = 0 5 + -0.9x = -13 + 0 5 + -0.9x = -13 Add '-5' to each side of the equation. 5 + -5 + -0.9x = -13 + -5 Combine like terms: 5 + -5 = 0 0 + -0.9x = -13 + -5 -0.9x = -13 + -5 Combine like terms: -13 + -5 = -18 -0.9x = -18 Divide each side by '-0.9'. x = 20 Simplifying x = 20
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