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Simplifying 3x + 7 = -8(0.75 + -1x) Reorder the terms: 7 + 3x = -8(0.75 + -1x) 7 + 3x = (0.75 * -8 + -1x * -8) 7 + 3x = (-6 + 8x) Solving 7 + 3x = -6 + 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. 7 + 3x + -8x = -6 + 8x + -8x Combine like terms: 3x + -8x = -5x 7 + -5x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + -5x = -6 + 0 7 + -5x = -6 Add '-7' to each side of the equation. 7 + -7 + -5x = -6 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = -6 + -7 -5x = -6 + -7 Combine like terms: -6 + -7 = -13 -5x = -13 Divide each side by '-5'. x = 2.6 Simplifying x = 2.6
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