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Simplifying 4x + -3(2x + -7) = 6(3x + -7) + 8x Reorder the terms: 4x + -3(-7 + 2x) = 6(3x + -7) + 8x 4x + (-7 * -3 + 2x * -3) = 6(3x + -7) + 8x 4x + (21 + -6x) = 6(3x + -7) + 8x Reorder the terms: 21 + 4x + -6x = 6(3x + -7) + 8x Combine like terms: 4x + -6x = -2x 21 + -2x = 6(3x + -7) + 8x Reorder the terms: 21 + -2x = 6(-7 + 3x) + 8x 21 + -2x = (-7 * 6 + 3x * 6) + 8x 21 + -2x = (-42 + 18x) + 8x Combine like terms: 18x + 8x = 26x 21 + -2x = -42 + 26x Solving 21 + -2x = -42 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 21 + -2x + -26x = -42 + 26x + -26x Combine like terms: -2x + -26x = -28x 21 + -28x = -42 + 26x + -26x Combine like terms: 26x + -26x = 0 21 + -28x = -42 + 0 21 + -28x = -42 Add '-21' to each side of the equation. 21 + -21 + -28x = -42 + -21 Combine like terms: 21 + -21 = 0 0 + -28x = -42 + -21 -28x = -42 + -21 Combine like terms: -42 + -21 = -63 -28x = -63 Divide each side by '-28'. x = 2.25 Simplifying x = 2.25
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