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Simplifying 7(x + -3) + 4 = 6x + -2 Reorder the terms: 7(-3 + x) + 4 = 6x + -2 (-3 * 7 + x * 7) + 4 = 6x + -2 (-21 + 7x) + 4 = 6x + -2 Reorder the terms: -21 + 4 + 7x = 6x + -2 Combine like terms: -21 + 4 = -17 -17 + 7x = 6x + -2 Reorder the terms: -17 + 7x = -2 + 6x Solving -17 + 7x = -2 + 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. -17 + 7x + -6x = -2 + 6x + -6x Combine like terms: 7x + -6x = 1x -17 + 1x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -17 + 1x = -2 + 0 -17 + 1x = -2 Add '17' to each side of the equation. -17 + 17 + 1x = -2 + 17 Combine like terms: -17 + 17 = 0 0 + 1x = -2 + 17 1x = -2 + 17 Combine like terms: -2 + 17 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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