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Simplifying 7(2x + -3) = 2 + 3(4x + -5) + 3x Reorder the terms: 7(-3 + 2x) = 2 + 3(4x + -5) + 3x (-3 * 7 + 2x * 7) = 2 + 3(4x + -5) + 3x (-21 + 14x) = 2 + 3(4x + -5) + 3x Reorder the terms: -21 + 14x = 2 + 3(-5 + 4x) + 3x -21 + 14x = 2 + (-5 * 3 + 4x * 3) + 3x -21 + 14x = 2 + (-15 + 12x) + 3x Combine like terms: 2 + -15 = -13 -21 + 14x = -13 + 12x + 3x Combine like terms: 12x + 3x = 15x -21 + 14x = -13 + 15x Solving -21 + 14x = -13 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -21 + 14x + -15x = -13 + 15x + -15x Combine like terms: 14x + -15x = -1x -21 + -1x = -13 + 15x + -15x Combine like terms: 15x + -15x = 0 -21 + -1x = -13 + 0 -21 + -1x = -13 Add '21' to each side of the equation. -21 + 21 + -1x = -13 + 21 Combine like terms: -21 + 21 = 0 0 + -1x = -13 + 21 -1x = -13 + 21 Combine like terms: -13 + 21 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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