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Simplifying 0.3x + -2(x + 0.1) = 0.4(x + -3) + -1.1 Reorder the terms: 0.3x + -2(0.1 + x) = 0.4(x + -3) + -1.1 0.3x + (0.1 * -2 + x * -2) = 0.4(x + -3) + -1.1 0.3x + (-0.2 + -2x) = 0.4(x + -3) + -1.1 Reorder the terms: -0.2 + 0.3x + -2x = 0.4(x + -3) + -1.1 Combine like terms: 0.3x + -2x = -1.7x -0.2 + -1.7x = 0.4(x + -3) + -1.1 Reorder the terms: -0.2 + -1.7x = 0.4(-3 + x) + -1.1 -0.2 + -1.7x = (-3 * 0.4 + x * 0.4) + -1.1 -0.2 + -1.7x = (-1.2 + 0.4x) + -1.1 Reorder the terms: -0.2 + -1.7x = -1.2 + -1.1 + 0.4x Combine like terms: -1.2 + -1.1 = -2.3 -0.2 + -1.7x = -2.3 + 0.4x Solving -0.2 + -1.7x = -2.3 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. -0.2 + -1.7x + -0.4x = -2.3 + 0.4x + -0.4x Combine like terms: -1.7x + -0.4x = -2.1x -0.2 + -2.1x = -2.3 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -0.2 + -2.1x = -2.3 + 0.0 -0.2 + -2.1x = -2.3 Add '0.2' to each side of the equation. -0.2 + 0.2 + -2.1x = -2.3 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + -2.1x = -2.3 + 0.2 -2.1x = -2.3 + 0.2 Combine like terms: -2.3 + 0.2 = -2.1 -2.1x = -2.1 Divide each side by '-2.1'. x = 1 Simplifying x = 1
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