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Simplifying 7(x + -3) + 5 = 6x + -8 Reorder the terms: 7(-3 + x) + 5 = 6x + -8 (-3 * 7 + x * 7) + 5 = 6x + -8 (-21 + 7x) + 5 = 6x + -8 Reorder the terms: -21 + 5 + 7x = 6x + -8 Combine like terms: -21 + 5 = -16 -16 + 7x = 6x + -8 Reorder the terms: -16 + 7x = -8 + 6x Solving -16 + 7x = -8 + 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. -16 + 7x + -6x = -8 + 6x + -6x Combine like terms: 7x + -6x = 1x -16 + 1x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 -16 + 1x = -8 + 0 -16 + 1x = -8 Add '16' to each side of the equation. -16 + 16 + 1x = -8 + 16 Combine like terms: -16 + 16 = 0 0 + 1x = -8 + 16 1x = -8 + 16 Combine like terms: -8 + 16 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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