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Simplifying 2 + -3(2x + -6) = 4(2x + -0.25) Reorder the terms: 2 + -3(-6 + 2x) = 4(2x + -0.25) 2 + (-6 * -3 + 2x * -3) = 4(2x + -0.25) 2 + (18 + -6x) = 4(2x + -0.25) Combine like terms: 2 + 18 = 20 20 + -6x = 4(2x + -0.25) Reorder the terms: 20 + -6x = 4(-0.25 + 2x) 20 + -6x = (-0.25 * 4 + 2x * 4) 20 + -6x = (-1 + 8x) Solving 20 + -6x = -1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 20 + -6x + -8x = -1 + 8x + -8x Combine like terms: -6x + -8x = -14x 20 + -14x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 20 + -14x = -1 + 0 20 + -14x = -1 Add '-20' to each side of the equation. 20 + -20 + -14x = -1 + -20 Combine like terms: 20 + -20 = 0 0 + -14x = -1 + -20 -14x = -1 + -20 Combine like terms: -1 + -20 = -21 -14x = -21 Divide each side by '-14'. x = 1.5 Simplifying x = 1.5
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