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Simplifying 0.25x + -4 = 0.4(x + -7) Reorder the terms: -4 + 0.25x = 0.4(x + -7) Reorder the terms: -4 + 0.25x = 0.4(-7 + x) -4 + 0.25x = (-7 * 0.4 + x * 0.4) -4 + 0.25x = (-2.8 + 0.4x) Solving -4 + 0.25x = -2.8 + 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. -4 + 0.25x + -0.4x = -2.8 + 0.4x + -0.4x Combine like terms: 0.25x + -0.4x = -0.15x -4 + -0.15x = -2.8 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -4 + -0.15x = -2.8 + 0.0 -4 + -0.15x = -2.8 Add '4' to each side of the equation. -4 + 4 + -0.15x = -2.8 + 4 Combine like terms: -4 + 4 = 0 0 + -0.15x = -2.8 + 4 -0.15x = -2.8 + 4 Combine like terms: -2.8 + 4 = 1.2 -0.15x = 1.2 Divide each side by '-0.15'. x = -8 Simplifying x = -8
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