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Simplifying 6x + -4(2x + -3) = 5x + -3 Reorder the terms: 6x + -4(-3 + 2x) = 5x + -3 6x + (-3 * -4 + 2x * -4) = 5x + -3 6x + (12 + -8x) = 5x + -3 Reorder the terms: 12 + 6x + -8x = 5x + -3 Combine like terms: 6x + -8x = -2x 12 + -2x = 5x + -3 Reorder the terms: 12 + -2x = -3 + 5x Solving 12 + -2x = -3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + -2x + -5x = -3 + 5x + -5x Combine like terms: -2x + -5x = -7x 12 + -7x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -7x = -3 + 0 12 + -7x = -3 Add '-12' to each side of the equation. 12 + -12 + -7x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = -3 + -12 -7x = -3 + -12 Combine like terms: -3 + -12 = -15 -7x = -15 Divide each side by '-7'. x = 2.142857143 Simplifying x = 2.142857143
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