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Simplifying 4x + 7 = 43 + 8(x + -2) Reorder the terms: 7 + 4x = 43 + 8(x + -2) Reorder the terms: 7 + 4x = 43 + 8(-2 + x) 7 + 4x = 43 + (-2 * 8 + x * 8) 7 + 4x = 43 + (-16 + 8x) Combine like terms: 43 + -16 = 27 7 + 4x = 27 + 8x Solving 7 + 4x = 27 + 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. 7 + 4x + -8x = 27 + 8x + -8x Combine like terms: 4x + -8x = -4x 7 + -4x = 27 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + -4x = 27 + 0 7 + -4x = 27 Add '-7' to each side of the equation. 7 + -7 + -4x = 27 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 27 + -7 -4x = 27 + -7 Combine like terms: 27 + -7 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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