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Simplifying 8 + -4(2x + -7) = 8(x + -3) Reorder the terms: 8 + -4(-7 + 2x) = 8(x + -3) 8 + (-7 * -4 + 2x * -4) = 8(x + -3) 8 + (28 + -8x) = 8(x + -3) Combine like terms: 8 + 28 = 36 36 + -8x = 8(x + -3) Reorder the terms: 36 + -8x = 8(-3 + x) 36 + -8x = (-3 * 8 + x * 8) 36 + -8x = (-24 + 8x) Solving 36 + -8x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 36 + -8x + -8x = -24 + 8x + -8x Combine like terms: -8x + -8x = -16x 36 + -16x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 36 + -16x = -24 + 0 36 + -16x = -24 Add '-36' to each side of the equation. 36 + -36 + -16x = -24 + -36 Combine like terms: 36 + -36 = 0 0 + -16x = -24 + -36 -16x = -24 + -36 Combine like terms: -24 + -36 = -60 -16x = -60 Divide each side by '-16'. x = 3.75 Simplifying x = 3.75
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