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Simplifying 3(x + 5) + -2 = 4x + -5 Reorder the terms: 3(5 + x) + -2 = 4x + -5 (5 * 3 + x * 3) + -2 = 4x + -5 (15 + 3x) + -2 = 4x + -5 Reorder the terms: 15 + -2 + 3x = 4x + -5 Combine like terms: 15 + -2 = 13 13 + 3x = 4x + -5 Reorder the terms: 13 + 3x = -5 + 4x Solving 13 + 3x = -5 + 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. 13 + 3x + -4x = -5 + 4x + -4x Combine like terms: 3x + -4x = -1x 13 + -1x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 13 + -1x = -5 + 0 13 + -1x = -5 Add '-13' to each side of the equation. 13 + -13 + -1x = -5 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = -5 + -13 -1x = -5 + -13 Combine like terms: -5 + -13 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18
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