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Simplifying 6(x + -3) + 10 = 7x + 8 Reorder the terms: 6(-3 + x) + 10 = 7x + 8 (-3 * 6 + x * 6) + 10 = 7x + 8 (-18 + 6x) + 10 = 7x + 8 Reorder the terms: -18 + 10 + 6x = 7x + 8 Combine like terms: -18 + 10 = -8 -8 + 6x = 7x + 8 Reorder the terms: -8 + 6x = 8 + 7x Solving -8 + 6x = 8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -8 + 6x + -7x = 8 + 7x + -7x Combine like terms: 6x + -7x = -1x -8 + -1x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + -1x = 8 + 0 -8 + -1x = 8 Add '8' to each side of the equation. -8 + 8 + -1x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 8 + 8 -1x = 8 + 8 Combine like terms: 8 + 8 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16
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