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Simplifying -0.2(15x + 6) = 0.4(-10x + -7) Reorder the terms: -0.2(6 + 15x) = 0.4(-10x + -7) (6 * -0.2 + 15x * -0.2) = 0.4(-10x + -7) (-1.2 + -3x) = 0.4(-10x + -7) Reorder the terms: -1.2 + -3x = 0.4(-7 + -10x) -1.2 + -3x = (-7 * 0.4 + -10x * 0.4) -1.2 + -3x = (-2.8 + -4x) Solving -1.2 + -3x = -2.8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -1.2 + -3x + 4x = -2.8 + -4x + 4x Combine like terms: -3x + 4x = 1x -1.2 + 1x = -2.8 + -4x + 4x Combine like terms: -4x + 4x = 0 -1.2 + 1x = -2.8 + 0 -1.2 + 1x = -2.8 Add '1.2' to each side of the equation. -1.2 + 1.2 + 1x = -2.8 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 1x = -2.8 + 1.2 1x = -2.8 + 1.2 Combine like terms: -2.8 + 1.2 = -1.6 1x = -1.6 Divide each side by '1'. x = -1.6 Simplifying x = -1.6
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