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Simplifying 5x + -2x + 15 = 4(x + 1) Reorder the terms: 15 + 5x + -2x = 4(x + 1) Combine like terms: 5x + -2x = 3x 15 + 3x = 4(x + 1) Reorder the terms: 15 + 3x = 4(1 + x) 15 + 3x = (1 * 4 + x * 4) 15 + 3x = (4 + 4x) Solving 15 + 3x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 15 + 3x + -4x = 4 + 4x + -4x Combine like terms: 3x + -4x = -1x 15 + -1x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + -1x = 4 + 0 15 + -1x = 4 Add '-15' to each side of the equation. 15 + -15 + -1x = 4 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 4 + -15 -1x = 4 + -15 Combine like terms: 4 + -15 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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