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Simplifying (1.5x + -13) * 6 = 4.5x + -1(78 + -2x) Reorder the terms: (-13 + 1.5x) * 6 = 4.5x + -1(78 + -2x) Reorder the terms for easier multiplication: 6(-13 + 1.5x) = 4.5x + -1(78 + -2x) (-13 * 6 + 1.5x * 6) = 4.5x + -1(78 + -2x) (-78 + 9x) = 4.5x + -1(78 + -2x) -78 + 9x = 4.5x + (78 * -1 + -2x * -1) -78 + 9x = 4.5x + (-78 + 2x) Reorder the terms: -78 + 9x = -78 + 4.5x + 2x Combine like terms: 4.5x + 2x = 6.5x -78 + 9x = -78 + 6.5x Add '78' to each side of the equation. -78 + 78 + 9x = -78 + 78 + 6.5x Combine like terms: -78 + 78 = 0 0 + 9x = -78 + 78 + 6.5x 9x = -78 + 78 + 6.5x Combine like terms: -78 + 78 = 0 9x = 0 + 6.5x 9x = 6.5x Solving 9x = 6.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.5x' to each side of the equation. 9x + -6.5x = 6.5x + -6.5x Combine like terms: 9x + -6.5x = 2.5x 2.5x = 6.5x + -6.5x Combine like terms: 6.5x + -6.5x = 0.0 2.5x = 0.0 Divide each side by '2.5'. x = 0 Simplifying x = 0
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