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Simplifying 4(x + 5) + -3 = 6x + -13 Reorder the terms: 4(5 + x) + -3 = 6x + -13 (5 * 4 + x * 4) + -3 = 6x + -13 (20 + 4x) + -3 = 6x + -13 Reorder the terms: 20 + -3 + 4x = 6x + -13 Combine like terms: 20 + -3 = 17 17 + 4x = 6x + -13 Reorder the terms: 17 + 4x = -13 + 6x Solving 17 + 4x = -13 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 17 + 4x + -6x = -13 + 6x + -6x Combine like terms: 4x + -6x = -2x 17 + -2x = -13 + 6x + -6x Combine like terms: 6x + -6x = 0 17 + -2x = -13 + 0 17 + -2x = -13 Add '-17' to each side of the equation. 17 + -17 + -2x = -13 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = -13 + -17 -2x = -13 + -17 Combine like terms: -13 + -17 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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