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Simplifying 5(x + -4) = 7(x + 1) + -23 Reorder the terms: 5(-4 + x) = 7(x + 1) + -23 (-4 * 5 + x * 5) = 7(x + 1) + -23 (-20 + 5x) = 7(x + 1) + -23 Reorder the terms: -20 + 5x = 7(1 + x) + -23 -20 + 5x = (1 * 7 + x * 7) + -23 -20 + 5x = (7 + 7x) + -23 Reorder the terms: -20 + 5x = 7 + -23 + 7x Combine like terms: 7 + -23 = -16 -20 + 5x = -16 + 7x Solving -20 + 5x = -16 + 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. -20 + 5x + -7x = -16 + 7x + -7x Combine like terms: 5x + -7x = -2x -20 + -2x = -16 + 7x + -7x Combine like terms: 7x + -7x = 0 -20 + -2x = -16 + 0 -20 + -2x = -16 Add '20' to each side of the equation. -20 + 20 + -2x = -16 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = -16 + 20 -2x = -16 + 20 Combine like terms: -16 + 20 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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