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Simplifying -4(2x + -3) = 7(x + 8) Reorder the terms: -4(-3 + 2x) = 7(x + 8) (-3 * -4 + 2x * -4) = 7(x + 8) (12 + -8x) = 7(x + 8) Reorder the terms: 12 + -8x = 7(8 + x) 12 + -8x = (8 * 7 + x * 7) 12 + -8x = (56 + 7x) Solving 12 + -8x = 56 + 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. 12 + -8x + -7x = 56 + 7x + -7x Combine like terms: -8x + -7x = -15x 12 + -15x = 56 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -15x = 56 + 0 12 + -15x = 56 Add '-12' to each side of the equation. 12 + -12 + -15x = 56 + -12 Combine like terms: 12 + -12 = 0 0 + -15x = 56 + -12 -15x = 56 + -12 Combine like terms: 56 + -12 = 44 -15x = 44 Divide each side by '-15'. x = -2.933333333 Simplifying x = -2.933333333
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