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Simplifying 4x + 16 + -1(x + -7) = 2x + 40 Reorder the terms: 4x + 16 + -1(-7 + x) = 2x + 40 4x + 16 + (-7 * -1 + x * -1) = 2x + 40 4x + 16 + (7 + -1x) = 2x + 40 Reorder the terms: 16 + 7 + 4x + -1x = 2x + 40 Combine like terms: 16 + 7 = 23 23 + 4x + -1x = 2x + 40 Combine like terms: 4x + -1x = 3x 23 + 3x = 2x + 40 Reorder the terms: 23 + 3x = 40 + 2x Solving 23 + 3x = 40 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 23 + 3x + -2x = 40 + 2x + -2x Combine like terms: 3x + -2x = 1x 23 + 1x = 40 + 2x + -2x Combine like terms: 2x + -2x = 0 23 + 1x = 40 + 0 23 + 1x = 40 Add '-23' to each side of the equation. 23 + -23 + 1x = 40 + -23 Combine like terms: 23 + -23 = 0 0 + 1x = 40 + -23 1x = 40 + -23 Combine like terms: 40 + -23 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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