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Simplifying 5x + -4(2x + -3) = 6x Reorder the terms: 5x + -4(-3 + 2x) = 6x 5x + (-3 * -4 + 2x * -4) = 6x 5x + (12 + -8x) = 6x Reorder the terms: 12 + 5x + -8x = 6x Combine like terms: 5x + -8x = -3x 12 + -3x = 6x Solving 12 + -3x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + -3x + -6x = 6x + -6x Combine like terms: -3x + -6x = -9x 12 + -9x = 6x + -6x Combine like terms: 6x + -6x = 0 12 + -9x = 0 Add '-12' to each side of the equation. 12 + -12 + -9x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = 0 + -12 -9x = 0 + -12 Combine like terms: 0 + -12 = -12 -9x = -12 Divide each side by '-9'. x = 1.333333333 Simplifying x = 1.333333333
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