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Simplifying 8x + -4(-2.5 + 6x) = 6.5 + -12x 8x + (-2.5 * -4 + 6x * -4) = 6.5 + -12x 8x + (10 + -24x) = 6.5 + -12x Reorder the terms: 10 + 8x + -24x = 6.5 + -12x Combine like terms: 8x + -24x = -16x 10 + -16x = 6.5 + -12x Solving 10 + -16x = 6.5 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 10 + -16x + 12x = 6.5 + -12x + 12x Combine like terms: -16x + 12x = -4x 10 + -4x = 6.5 + -12x + 12x Combine like terms: -12x + 12x = 0 10 + -4x = 6.5 + 0 10 + -4x = 6.5 Add '-10' to each side of the equation. 10 + -10 + -4x = 6.5 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = 6.5 + -10 -4x = 6.5 + -10 Combine like terms: 6.5 + -10 = -3.5 -4x = -3.5 Divide each side by '-4'. x = 0.875 Simplifying x = 0.875
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