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Simplifying 0.3x + -1.3(x + -10) = 0.1(x + -2) Reorder the terms: 0.3x + -1.3(-10 + x) = 0.1(x + -2) 0.3x + (-10 * -1.3 + x * -1.3) = 0.1(x + -2) 0.3x + (13 + -1.3x) = 0.1(x + -2) Reorder the terms: 13 + 0.3x + -1.3x = 0.1(x + -2) Combine like terms: 0.3x + -1.3x = -1x 13 + -1x = 0.1(x + -2) Reorder the terms: 13 + -1x = 0.1(-2 + x) 13 + -1x = (-2 * 0.1 + x * 0.1) 13 + -1x = (-0.2 + 0.1x) Solving 13 + -1x = -0.2 + 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 + -1x + -0.1x = -0.2 + 0.1x + -0.1x Combine like terms: -1x + -0.1x = -1.1x 13 + -1.1x = -0.2 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 13 + -1.1x = -0.2 + 0.0 13 + -1.1x = -0.2 Add '-13' to each side of the equation. 13 + -13 + -1.1x = -0.2 + -13 Combine like terms: 13 + -13 = 0 0 + -1.1x = -0.2 + -13 -1.1x = -0.2 + -13 Combine like terms: -0.2 + -13 = -13.2 -1.1x = -13.2 Divide each side by '-1.1'. x = 12 Simplifying x = 12
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