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Simplifying 6(x + -3) = 7(x + 1) + -16 Reorder the terms: 6(-3 + x) = 7(x + 1) + -16 (-3 * 6 + x * 6) = 7(x + 1) + -16 (-18 + 6x) = 7(x + 1) + -16 Reorder the terms: -18 + 6x = 7(1 + x) + -16 -18 + 6x = (1 * 7 + x * 7) + -16 -18 + 6x = (7 + 7x) + -16 Reorder the terms: -18 + 6x = 7 + -16 + 7x Combine like terms: 7 + -16 = -9 -18 + 6x = -9 + 7x Solving -18 + 6x = -9 + 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. -18 + 6x + -7x = -9 + 7x + -7x Combine like terms: 6x + -7x = -1x -18 + -1x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 -18 + -1x = -9 + 0 -18 + -1x = -9 Add '18' to each side of the equation. -18 + 18 + -1x = -9 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = -9 + 18 -1x = -9 + 18 Combine like terms: -9 + 18 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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