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Simplifying (0.5) * 8x + 10 = 12x + 40 Multiply 0.5 * 8 4x + 10 = 12x + 40 Reorder the terms: 10 + 4x = 12x + 40 Reorder the terms: 10 + 4x = 40 + 12x Solving 10 + 4x = 40 + 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 + 4x + -12x = 40 + 12x + -12x Combine like terms: 4x + -12x = -8x 10 + -8x = 40 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + -8x = 40 + 0 10 + -8x = 40 Add '-10' to each side of the equation. 10 + -10 + -8x = 40 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = 40 + -10 -8x = 40 + -10 Combine like terms: 40 + -10 = 30 -8x = 30 Divide each side by '-8'. x = -3.75 Simplifying x = -3.75
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