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Simplifying 4(x + 6) + -3 = 6(x + 3) + -5 Reorder the terms: 4(6 + x) + -3 = 6(x + 3) + -5 (6 * 4 + x * 4) + -3 = 6(x + 3) + -5 (24 + 4x) + -3 = 6(x + 3) + -5 Reorder the terms: 24 + -3 + 4x = 6(x + 3) + -5 Combine like terms: 24 + -3 = 21 21 + 4x = 6(x + 3) + -5 Reorder the terms: 21 + 4x = 6(3 + x) + -5 21 + 4x = (3 * 6 + x * 6) + -5 21 + 4x = (18 + 6x) + -5 Reorder the terms: 21 + 4x = 18 + -5 + 6x Combine like terms: 18 + -5 = 13 21 + 4x = 13 + 6x Solving 21 + 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. 21 + 4x + -6x = 13 + 6x + -6x Combine like terms: 4x + -6x = -2x 21 + -2x = 13 + 6x + -6x Combine like terms: 6x + -6x = 0 21 + -2x = 13 + 0 21 + -2x = 13 Add '-21' to each side of the equation. 21 + -21 + -2x = 13 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = 13 + -21 -2x = 13 + -21 Combine like terms: 13 + -21 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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