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Simplifying 6(-3x + 4) + -6 = -8(2x + 2) + -8 Reorder the terms: 6(4 + -3x) + -6 = -8(2x + 2) + -8 (4 * 6 + -3x * 6) + -6 = -8(2x + 2) + -8 (24 + -18x) + -6 = -8(2x + 2) + -8 Reorder the terms: 24 + -6 + -18x = -8(2x + 2) + -8 Combine like terms: 24 + -6 = 18 18 + -18x = -8(2x + 2) + -8 Reorder the terms: 18 + -18x = -8(2 + 2x) + -8 18 + -18x = (2 * -8 + 2x * -8) + -8 18 + -18x = (-16 + -16x) + -8 Reorder the terms: 18 + -18x = -16 + -8 + -16x Combine like terms: -16 + -8 = -24 18 + -18x = -24 + -16x Solving 18 + -18x = -24 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 18 + -18x + 16x = -24 + -16x + 16x Combine like terms: -18x + 16x = -2x 18 + -2x = -24 + -16x + 16x Combine like terms: -16x + 16x = 0 18 + -2x = -24 + 0 18 + -2x = -24 Add '-18' to each side of the equation. 18 + -18 + -2x = -24 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = -24 + -18 -2x = -24 + -18 Combine like terms: -24 + -18 = -42 -2x = -42 Divide each side by '-2'. x = 21 Simplifying x = 21
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