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Simplifying -37.32 + 7.5x = 6.9(x + -4.8) Reorder the terms: -37.32 + 7.5x = 6.9(-4.8 + x) -37.32 + 7.5x = (-4.8 * 6.9 + x * 6.9) -37.32 + 7.5x = (-33.12 + 6.9x) Solving -37.32 + 7.5x = -33.12 + 6.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.9x' to each side of the equation. -37.32 + 7.5x + -6.9x = -33.12 + 6.9x + -6.9x Combine like terms: 7.5x + -6.9x = 0.6x -37.32 + 0.6x = -33.12 + 6.9x + -6.9x Combine like terms: 6.9x + -6.9x = 0.0 -37.32 + 0.6x = -33.12 + 0.0 -37.32 + 0.6x = -33.12 Add '37.32' to each side of the equation. -37.32 + 37.32 + 0.6x = -33.12 + 37.32 Combine like terms: -37.32 + 37.32 = 0.00 0.00 + 0.6x = -33.12 + 37.32 0.6x = -33.12 + 37.32 Combine like terms: -33.12 + 37.32 = 4.2 0.6x = 4.2 Divide each side by '0.6'. x = 7 Simplifying x = 7
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