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Simplifying 1.2x + 0.5 = 0.25(x + -4) Reorder the terms: 0.5 + 1.2x = 0.25(x + -4) Reorder the terms: 0.5 + 1.2x = 0.25(-4 + x) 0.5 + 1.2x = (-4 * 0.25 + x * 0.25) 0.5 + 1.2x = (-1 + 0.25x) Solving 0.5 + 1.2x = -1 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 0.5 + 1.2x + -0.25x = -1 + 0.25x + -0.25x Combine like terms: 1.2x + -0.25x = 0.95x 0.5 + 0.95x = -1 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 0.5 + 0.95x = -1 + 0.00 0.5 + 0.95x = -1 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.95x = -1 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.95x = -1 + -0.5 0.95x = -1 + -0.5 Combine like terms: -1 + -0.5 = -1.5 0.95x = -1.5 Divide each side by '0.95'. x = -1.578947368 Simplifying x = -1.578947368
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