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Simplifying 7(2x + -3) = 4(x + 3) + 15 Reorder the terms: 7(-3 + 2x) = 4(x + 3) + 15 (-3 * 7 + 2x * 7) = 4(x + 3) + 15 (-21 + 14x) = 4(x + 3) + 15 Reorder the terms: -21 + 14x = 4(3 + x) + 15 -21 + 14x = (3 * 4 + x * 4) + 15 -21 + 14x = (12 + 4x) + 15 Reorder the terms: -21 + 14x = 12 + 15 + 4x Combine like terms: 12 + 15 = 27 -21 + 14x = 27 + 4x Solving -21 + 14x = 27 + 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 + 14x + -4x = 27 + 4x + -4x Combine like terms: 14x + -4x = 10x -21 + 10x = 27 + 4x + -4x Combine like terms: 4x + -4x = 0 -21 + 10x = 27 + 0 -21 + 10x = 27 Add '21' to each side of the equation. -21 + 21 + 10x = 27 + 21 Combine like terms: -21 + 21 = 0 0 + 10x = 27 + 21 10x = 27 + 21 Combine like terms: 27 + 21 = 48 10x = 48 Divide each side by '10'. x = 4.8 Simplifying x = 4.8
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