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Simplifying 0.2x + 13 + x = -0.1(x + 40) + 4 Reorder the terms: 13 + 0.2x + x = -0.1(x + 40) + 4 Combine like terms: 0.2x + x = 1.2x 13 + 1.2x = -0.1(x + 40) + 4 Reorder the terms: 13 + 1.2x = -0.1(40 + x) + 4 13 + 1.2x = (40 * -0.1 + x * -0.1) + 4 13 + 1.2x = (-4 + -0.1x) + 4 Reorder the terms: 13 + 1.2x = -4 + 4 + -0.1x Combine like terms: -4 + 4 = 0 13 + 1.2x = 0 + -0.1x 13 + 1.2x = -0.1x Solving 13 + 1.2x = -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. 13 + 1.2x + 0.1x = -0.1x + 0.1x Combine like terms: 1.2x + 0.1x = 1.3x 13 + 1.3x = -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 13 + 1.3x = 0.0 Add '-13' to each side of the equation. 13 + -13 + 1.3x = 0.0 + -13 Combine like terms: 13 + -13 = 0 0 + 1.3x = 0.0 + -13 1.3x = 0.0 + -13 Combine like terms: 0.0 + -13 = -13 1.3x = -13 Divide each side by '1.3'. x = -10 Simplifying x = -10
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