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Simplifying -3(2x + 7) = 4(x + 3) + 7 Reorder the terms: -3(7 + 2x) = 4(x + 3) + 7 (7 * -3 + 2x * -3) = 4(x + 3) + 7 (-21 + -6x) = 4(x + 3) + 7 Reorder the terms: -21 + -6x = 4(3 + x) + 7 -21 + -6x = (3 * 4 + x * 4) + 7 -21 + -6x = (12 + 4x) + 7 Reorder the terms: -21 + -6x = 12 + 7 + 4x Combine like terms: 12 + 7 = 19 -21 + -6x = 19 + 4x Solving -21 + -6x = 19 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -21 + -6x + -4x = 19 + 4x + -4x Combine like terms: -6x + -4x = -10x -21 + -10x = 19 + 4x + -4x Combine like terms: 4x + -4x = 0 -21 + -10x = 19 + 0 -21 + -10x = 19 Add '21' to each side of the equation. -21 + 21 + -10x = 19 + 21 Combine like terms: -21 + 21 = 0 0 + -10x = 19 + 21 -10x = 19 + 21 Combine like terms: 19 + 21 = 40 -10x = 40 Divide each side by '-10'. x = -4 Simplifying x = -4
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