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Simplifying 5 + -3(x + 2) + -15 = 4x + 22 + -5x Reorder the terms: 5 + -3(2 + x) + -15 = 4x + 22 + -5x 5 + (2 * -3 + x * -3) + -15 = 4x + 22 + -5x 5 + (-6 + -3x) + -15 = 4x + 22 + -5x Reorder the terms: 5 + -6 + -15 + -3x = 4x + 22 + -5x Combine like terms: 5 + -6 = -1 -1 + -15 + -3x = 4x + 22 + -5x Combine like terms: -1 + -15 = -16 -16 + -3x = 4x + 22 + -5x Reorder the terms: -16 + -3x = 22 + 4x + -5x Combine like terms: 4x + -5x = -1x -16 + -3x = 22 + -1x Solving -16 + -3x = 22 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -16 + -3x + x = 22 + -1x + x Combine like terms: -3x + x = -2x -16 + -2x = 22 + -1x + x Combine like terms: -1x + x = 0 -16 + -2x = 22 + 0 -16 + -2x = 22 Add '16' to each side of the equation. -16 + 16 + -2x = 22 + 16 Combine like terms: -16 + 16 = 0 0 + -2x = 22 + 16 -2x = 22 + 16 Combine like terms: 22 + 16 = 38 -2x = 38 Divide each side by '-2'. x = -19 Simplifying x = -19
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