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Simplifying 2x + -23 = 7(x + -4) Reorder the terms: -23 + 2x = 7(x + -4) Reorder the terms: -23 + 2x = 7(-4 + x) -23 + 2x = (-4 * 7 + x * 7) -23 + 2x = (-28 + 7x) Solving -23 + 2x = -28 + 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. -23 + 2x + -7x = -28 + 7x + -7x Combine like terms: 2x + -7x = -5x -23 + -5x = -28 + 7x + -7x Combine like terms: 7x + -7x = 0 -23 + -5x = -28 + 0 -23 + -5x = -28 Add '23' to each side of the equation. -23 + 23 + -5x = -28 + 23 Combine like terms: -23 + 23 = 0 0 + -5x = -28 + 23 -5x = -28 + 23 Combine like terms: -28 + 23 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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