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Simplifying 2(3x + -4) + 5x = 6(7x + -8) + 9x Reorder the terms: 2(-4 + 3x) + 5x = 6(7x + -8) + 9x (-4 * 2 + 3x * 2) + 5x = 6(7x + -8) + 9x (-8 + 6x) + 5x = 6(7x + -8) + 9x Combine like terms: 6x + 5x = 11x -8 + 11x = 6(7x + -8) + 9x Reorder the terms: -8 + 11x = 6(-8 + 7x) + 9x -8 + 11x = (-8 * 6 + 7x * 6) + 9x -8 + 11x = (-48 + 42x) + 9x Combine like terms: 42x + 9x = 51x -8 + 11x = -48 + 51x Solving -8 + 11x = -48 + 51x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51x' to each side of the equation. -8 + 11x + -51x = -48 + 51x + -51x Combine like terms: 11x + -51x = -40x -8 + -40x = -48 + 51x + -51x Combine like terms: 51x + -51x = 0 -8 + -40x = -48 + 0 -8 + -40x = -48 Add '8' to each side of the equation. -8 + 8 + -40x = -48 + 8 Combine like terms: -8 + 8 = 0 0 + -40x = -48 + 8 -40x = -48 + 8 Combine like terms: -48 + 8 = -40 -40x = -40 Divide each side by '-40'. x = 1 Simplifying x = 1
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