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Simplifying 5(x + 3) + -6x = -5 + 3x Reorder the terms: 5(3 + x) + -6x = -5 + 3x (3 * 5 + x * 5) + -6x = -5 + 3x (15 + 5x) + -6x = -5 + 3x Combine like terms: 5x + -6x = -1x 15 + -1x = -5 + 3x Solving 15 + -1x = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 15 + -1x + -3x = -5 + 3x + -3x Combine like terms: -1x + -3x = -4x 15 + -4x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + -4x = -5 + 0 15 + -4x = -5 Add '-15' to each side of the equation. 15 + -15 + -4x = -5 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = -5 + -15 -4x = -5 + -15 Combine like terms: -5 + -15 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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