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Simplifying 4x + -3(2x + -7) = 3(3x + -7) + 8x Reorder the terms: 4x + -3(-7 + 2x) = 3(3x + -7) + 8x 4x + (-7 * -3 + 2x * -3) = 3(3x + -7) + 8x 4x + (21 + -6x) = 3(3x + -7) + 8x Reorder the terms: 21 + 4x + -6x = 3(3x + -7) + 8x Combine like terms: 4x + -6x = -2x 21 + -2x = 3(3x + -7) + 8x Reorder the terms: 21 + -2x = 3(-7 + 3x) + 8x 21 + -2x = (-7 * 3 + 3x * 3) + 8x 21 + -2x = (-21 + 9x) + 8x Combine like terms: 9x + 8x = 17x 21 + -2x = -21 + 17x Solving 21 + -2x = -21 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 21 + -2x + -17x = -21 + 17x + -17x Combine like terms: -2x + -17x = -19x 21 + -19x = -21 + 17x + -17x Combine like terms: 17x + -17x = 0 21 + -19x = -21 + 0 21 + -19x = -21 Add '-21' to each side of the equation. 21 + -21 + -19x = -21 + -21 Combine like terms: 21 + -21 = 0 0 + -19x = -21 + -21 -19x = -21 + -21 Combine like terms: -21 + -21 = -42 -19x = -42 Divide each side by '-19'. x = 2.210526316 Simplifying x = 2.210526316
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