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Simplifying 3(x + 15) = 4(x + 13) Reorder the terms: 3(15 + x) = 4(x + 13) (15 * 3 + x * 3) = 4(x + 13) (45 + 3x) = 4(x + 13) Reorder the terms: 45 + 3x = 4(13 + x) 45 + 3x = (13 * 4 + x * 4) 45 + 3x = (52 + 4x) Solving 45 + 3x = 52 + 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. 45 + 3x + -4x = 52 + 4x + -4x Combine like terms: 3x + -4x = -1x 45 + -1x = 52 + 4x + -4x Combine like terms: 4x + -4x = 0 45 + -1x = 52 + 0 45 + -1x = 52 Add '-45' to each side of the equation. 45 + -45 + -1x = 52 + -45 Combine like terms: 45 + -45 = 0 0 + -1x = 52 + -45 -1x = 52 + -45 Combine like terms: 52 + -45 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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