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Simplifying 7(x + 4) + 8 = 8(2x + -6) Reorder the terms: 7(4 + x) + 8 = 8(2x + -6) (4 * 7 + x * 7) + 8 = 8(2x + -6) (28 + 7x) + 8 = 8(2x + -6) Reorder the terms: 28 + 8 + 7x = 8(2x + -6) Combine like terms: 28 + 8 = 36 36 + 7x = 8(2x + -6) Reorder the terms: 36 + 7x = 8(-6 + 2x) 36 + 7x = (-6 * 8 + 2x * 8) 36 + 7x = (-48 + 16x) Solving 36 + 7x = -48 + 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. 36 + 7x + -16x = -48 + 16x + -16x Combine like terms: 7x + -16x = -9x 36 + -9x = -48 + 16x + -16x Combine like terms: 16x + -16x = 0 36 + -9x = -48 + 0 36 + -9x = -48 Add '-36' to each side of the equation. 36 + -36 + -9x = -48 + -36 Combine like terms: 36 + -36 = 0 0 + -9x = -48 + -36 -9x = -48 + -36 Combine like terms: -48 + -36 = -84 -9x = -84 Divide each side by '-9'. x = 9.333333333 Simplifying x = 9.333333333
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