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Simplifying -61 = -25 + 0.67(12x + 30) Reorder the terms: -61 = -25 + 0.67(30 + 12x) -61 = -25 + (30 * 0.67 + 12x * 0.67) -61 = -25 + (20.1 + 8.04x) Combine like terms: -25 + 20.1 = -4.9 -61 = -4.9 + 8.04x Solving -61 = -4.9 + 8.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.04x' to each side of the equation. -61 + -8.04x = -4.9 + 8.04x + -8.04x Combine like terms: 8.04x + -8.04x = 0.00 -61 + -8.04x = -4.9 + 0.00 -61 + -8.04x = -4.9 Add '61' to each side of the equation. -61 + 61 + -8.04x = -4.9 + 61 Combine like terms: -61 + 61 = 0 0 + -8.04x = -4.9 + 61 -8.04x = -4.9 + 61 Combine like terms: -4.9 + 61 = 56.1 -8.04x = 56.1 Divide each side by '-8.04'. x = -6.97761194 Simplifying x = -6.97761194
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