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Simplifying 5 + -1(x + 2) + -15 = 4x + 23 + -6x Reorder the terms: 5 + -1(2 + x) + -15 = 4x + 23 + -6x 5 + (2 * -1 + x * -1) + -15 = 4x + 23 + -6x 5 + (-2 + -1x) + -15 = 4x + 23 + -6x Reorder the terms: 5 + -2 + -15 + -1x = 4x + 23 + -6x Combine like terms: 5 + -2 = 3 3 + -15 + -1x = 4x + 23 + -6x Combine like terms: 3 + -15 = -12 -12 + -1x = 4x + 23 + -6x Reorder the terms: -12 + -1x = 23 + 4x + -6x Combine like terms: 4x + -6x = -2x -12 + -1x = 23 + -2x Solving -12 + -1x = 23 + -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. -12 + -1x + 2x = 23 + -2x + 2x Combine like terms: -1x + 2x = 1x -12 + 1x = 23 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 1x = 23 + 0 -12 + 1x = 23 Add '12' to each side of the equation. -12 + 12 + 1x = 23 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 23 + 12 1x = 23 + 12 Combine like terms: 23 + 12 = 35 1x = 35 Divide each side by '1'. x = 35 Simplifying x = 35
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