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Simplifying 5(x + 3) + x = 4(x + -3) + 3 Reorder the terms: 5(3 + x) + x = 4(x + -3) + 3 (3 * 5 + x * 5) + x = 4(x + -3) + 3 (15 + 5x) + x = 4(x + -3) + 3 Combine like terms: 5x + x = 6x 15 + 6x = 4(x + -3) + 3 Reorder the terms: 15 + 6x = 4(-3 + x) + 3 15 + 6x = (-3 * 4 + x * 4) + 3 15 + 6x = (-12 + 4x) + 3 Reorder the terms: 15 + 6x = -12 + 3 + 4x Combine like terms: -12 + 3 = -9 15 + 6x = -9 + 4x Solving 15 + 6x = -9 + 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. 15 + 6x + -4x = -9 + 4x + -4x Combine like terms: 6x + -4x = 2x 15 + 2x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + 2x = -9 + 0 15 + 2x = -9 Add '-15' to each side of the equation. 15 + -15 + 2x = -9 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = -9 + -15 2x = -9 + -15 Combine like terms: -9 + -15 = -24 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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