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Simplifying 0.6(x + -1) = 3.4x + 5 Reorder the terms: 0.6(-1 + x) = 3.4x + 5 (-1 * 0.6 + x * 0.6) = 3.4x + 5 (-0.6 + 0.6x) = 3.4x + 5 Reorder the terms: -0.6 + 0.6x = 5 + 3.4x Solving -0.6 + 0.6x = 5 + 3.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.4x' to each side of the equation. -0.6 + 0.6x + -3.4x = 5 + 3.4x + -3.4x Combine like terms: 0.6x + -3.4x = -2.8x -0.6 + -2.8x = 5 + 3.4x + -3.4x Combine like terms: 3.4x + -3.4x = 0.0 -0.6 + -2.8x = 5 + 0.0 -0.6 + -2.8x = 5 Add '0.6' to each side of the equation. -0.6 + 0.6 + -2.8x = 5 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -2.8x = 5 + 0.6 -2.8x = 5 + 0.6 Combine like terms: 5 + 0.6 = 5.6 -2.8x = 5.6 Divide each side by '-2.8'. x = -2 Simplifying x = -2
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