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Simplifying 7(2x + -3) + 6x = 2x + -3(5 + x) Reorder the terms: 7(-3 + 2x) + 6x = 2x + -3(5 + x) (-3 * 7 + 2x * 7) + 6x = 2x + -3(5 + x) (-21 + 14x) + 6x = 2x + -3(5 + x) Combine like terms: 14x + 6x = 20x -21 + 20x = 2x + -3(5 + x) -21 + 20x = 2x + (5 * -3 + x * -3) -21 + 20x = 2x + (-15 + -3x) Reorder the terms: -21 + 20x = -15 + 2x + -3x Combine like terms: 2x + -3x = -1x -21 + 20x = -15 + -1x Solving -21 + 20x = -15 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -21 + 20x + x = -15 + -1x + x Combine like terms: 20x + x = 21x -21 + 21x = -15 + -1x + x Combine like terms: -1x + x = 0 -21 + 21x = -15 + 0 -21 + 21x = -15 Add '21' to each side of the equation. -21 + 21 + 21x = -15 + 21 Combine like terms: -21 + 21 = 0 0 + 21x = -15 + 21 21x = -15 + 21 Combine like terms: -15 + 21 = 6 21x = 6 Divide each side by '21'. x = 0.2857142857 Simplifying x = 0.2857142857
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