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Simplifying 6x + 4 = 8x + -7(-1x + 3) + -4x Reorder the terms: 4 + 6x = 8x + -7(-1x + 3) + -4x Reorder the terms: 4 + 6x = 8x + -7(3 + -1x) + -4x 4 + 6x = 8x + (3 * -7 + -1x * -7) + -4x 4 + 6x = 8x + (-21 + 7x) + -4x Reorder the terms: 4 + 6x = -21 + 8x + 7x + -4x Combine like terms: 8x + 7x = 15x 4 + 6x = -21 + 15x + -4x Combine like terms: 15x + -4x = 11x 4 + 6x = -21 + 11x Solving 4 + 6x = -21 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 4 + 6x + -11x = -21 + 11x + -11x Combine like terms: 6x + -11x = -5x 4 + -5x = -21 + 11x + -11x Combine like terms: 11x + -11x = 0 4 + -5x = -21 + 0 4 + -5x = -21 Add '-4' to each side of the equation. 4 + -4 + -5x = -21 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = -21 + -4 -5x = -21 + -4 Combine like terms: -21 + -4 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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