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Simplifying 3(x + 5) + -4x = 7x + 13 Reorder the terms: 3(5 + x) + -4x = 7x + 13 (5 * 3 + x * 3) + -4x = 7x + 13 (15 + 3x) + -4x = 7x + 13 Combine like terms: 3x + -4x = -1x 15 + -1x = 7x + 13 Reorder the terms: 15 + -1x = 13 + 7x Solving 15 + -1x = 13 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 15 + -1x + -7x = 13 + 7x + -7x Combine like terms: -1x + -7x = -8x 15 + -8x = 13 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + -8x = 13 + 0 15 + -8x = 13 Add '-15' to each side of the equation. 15 + -15 + -8x = 13 + -15 Combine like terms: 15 + -15 = 0 0 + -8x = 13 + -15 -8x = 13 + -15 Combine like terms: 13 + -15 = -2 -8x = -2 Divide each side by '-8'. x = 0.25 Simplifying x = 0.25
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