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Simplifying 8x + -2 + -7x + 9 = 5(1 + 0.15x) Reorder the terms: -2 + 9 + 8x + -7x = 5(1 + 0.15x) Combine like terms: -2 + 9 = 7 7 + 8x + -7x = 5(1 + 0.15x) Combine like terms: 8x + -7x = 1x 7 + 1x = 5(1 + 0.15x) 7 + 1x = (1 * 5 + 0.15x * 5) 7 + 1x = (5 + 0.75x) Solving 7 + 1x = 5 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 7 + 1x + -0.75x = 5 + 0.75x + -0.75x Combine like terms: 1x + -0.75x = 0.25x 7 + 0.25x = 5 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 7 + 0.25x = 5 + 0.00 7 + 0.25x = 5 Add '-7' to each side of the equation. 7 + -7 + 0.25x = 5 + -7 Combine like terms: 7 + -7 = 0 0 + 0.25x = 5 + -7 0.25x = 5 + -7 Combine like terms: 5 + -7 = -2 0.25x = -2 Divide each side by '0.25'. x = -8 Simplifying x = -8
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