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Simplifying 6(9x + -2) + -2 = 5(8 + -3x) + -3x Reorder the terms: 6(-2 + 9x) + -2 = 5(8 + -3x) + -3x (-2 * 6 + 9x * 6) + -2 = 5(8 + -3x) + -3x (-12 + 54x) + -2 = 5(8 + -3x) + -3x Reorder the terms: -12 + -2 + 54x = 5(8 + -3x) + -3x Combine like terms: -12 + -2 = -14 -14 + 54x = 5(8 + -3x) + -3x -14 + 54x = (8 * 5 + -3x * 5) + -3x -14 + 54x = (40 + -15x) + -3x Combine like terms: -15x + -3x = -18x -14 + 54x = 40 + -18x Solving -14 + 54x = 40 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -14 + 54x + 18x = 40 + -18x + 18x Combine like terms: 54x + 18x = 72x -14 + 72x = 40 + -18x + 18x Combine like terms: -18x + 18x = 0 -14 + 72x = 40 + 0 -14 + 72x = 40 Add '14' to each side of the equation. -14 + 14 + 72x = 40 + 14 Combine like terms: -14 + 14 = 0 0 + 72x = 40 + 14 72x = 40 + 14 Combine like terms: 40 + 14 = 54 72x = 54 Divide each side by '72'. x = 0.75 Simplifying x = 0.75
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