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Simplifying 7(x + -3) + 8(x + 3) = 6x + -6 Reorder the terms: 7(-3 + x) + 8(x + 3) = 6x + -6 (-3 * 7 + x * 7) + 8(x + 3) = 6x + -6 (-21 + 7x) + 8(x + 3) = 6x + -6 Reorder the terms: -21 + 7x + 8(3 + x) = 6x + -6 -21 + 7x + (3 * 8 + x * 8) = 6x + -6 -21 + 7x + (24 + 8x) = 6x + -6 Reorder the terms: -21 + 24 + 7x + 8x = 6x + -6 Combine like terms: -21 + 24 = 3 3 + 7x + 8x = 6x + -6 Combine like terms: 7x + 8x = 15x 3 + 15x = 6x + -6 Reorder the terms: 3 + 15x = -6 + 6x Solving 3 + 15x = -6 + 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. 3 + 15x + -6x = -6 + 6x + -6x Combine like terms: 15x + -6x = 9x 3 + 9x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + 9x = -6 + 0 3 + 9x = -6 Add '-3' to each side of the equation. 3 + -3 + 9x = -6 + -3 Combine like terms: 3 + -3 = 0 0 + 9x = -6 + -3 9x = -6 + -3 Combine like terms: -6 + -3 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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