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Simplifying 0.1x + -2.9 = 0.4(x + -5) Reorder the terms: -2.9 + 0.1x = 0.4(x + -5) Reorder the terms: -2.9 + 0.1x = 0.4(-5 + x) -2.9 + 0.1x = (-5 * 0.4 + x * 0.4) -2.9 + 0.1x = (-2 + 0.4x) Solving -2.9 + 0.1x = -2 + 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. -2.9 + 0.1x + -0.4x = -2 + 0.4x + -0.4x Combine like terms: 0.1x + -0.4x = -0.3x -2.9 + -0.3x = -2 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -2.9 + -0.3x = -2 + 0.0 -2.9 + -0.3x = -2 Add '2.9' to each side of the equation. -2.9 + 2.9 + -0.3x = -2 + 2.9 Combine like terms: -2.9 + 2.9 = 0.0 0.0 + -0.3x = -2 + 2.9 -0.3x = -2 + 2.9 Combine like terms: -2 + 2.9 = 0.9 -0.3x = 0.9 Divide each side by '-0.3'. x = -3 Simplifying x = -3
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