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Simplifying 7(2x + -3) + -4(3x + -5) = 4 + 6x + -13 Reorder the terms: 7(-3 + 2x) + -4(3x + -5) = 4 + 6x + -13 (-3 * 7 + 2x * 7) + -4(3x + -5) = 4 + 6x + -13 (-21 + 14x) + -4(3x + -5) = 4 + 6x + -13 Reorder the terms: -21 + 14x + -4(-5 + 3x) = 4 + 6x + -13 -21 + 14x + (-5 * -4 + 3x * -4) = 4 + 6x + -13 -21 + 14x + (20 + -12x) = 4 + 6x + -13 Reorder the terms: -21 + 20 + 14x + -12x = 4 + 6x + -13 Combine like terms: -21 + 20 = -1 -1 + 14x + -12x = 4 + 6x + -13 Combine like terms: 14x + -12x = 2x -1 + 2x = 4 + 6x + -13 Reorder the terms: -1 + 2x = 4 + -13 + 6x Combine like terms: 4 + -13 = -9 -1 + 2x = -9 + 6x Solving -1 + 2x = -9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -1 + 2x + -6x = -9 + 6x + -6x Combine like terms: 2x + -6x = -4x -1 + -4x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + -4x = -9 + 0 -1 + -4x = -9 Add '1' to each side of the equation. -1 + 1 + -4x = -9 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = -9 + 1 -4x = -9 + 1 Combine like terms: -9 + 1 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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