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Simplifying x + 3 = 6(x + 4) + -5(x + -3) Reorder the terms: 3 + x = 6(x + 4) + -5(x + -3) Reorder the terms: 3 + x = 6(4 + x) + -5(x + -3) 3 + x = (4 * 6 + x * 6) + -5(x + -3) 3 + x = (24 + 6x) + -5(x + -3) Reorder the terms: 3 + x = 24 + 6x + -5(-3 + x) 3 + x = 24 + 6x + (-3 * -5 + x * -5) 3 + x = 24 + 6x + (15 + -5x) Reorder the terms: 3 + x = 24 + 15 + 6x + -5x Combine like terms: 24 + 15 = 39 3 + x = 39 + 6x + -5x Combine like terms: 6x + -5x = 1x 3 + x = 39 + 1x Solving 3 + x = 39 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3 + x + -1x = 39 + 1x + -1x Combine like terms: x + -1x = 0 3 + 0 = 39 + 1x + -1x 3 = 39 + 1x + -1x Combine like terms: 1x + -1x = 0 3 = 39 + 0 3 = 39 Add '-3' to each side of the equation. 3 + -3 = 39 + -3 Combine like terms: 3 + -3 = 0 0 = 39 + -3 Combine like terms: 39 + -3 = 36 0 = 36 Simplifying 0 = 36 Combine like terms: 0 + -36 = -36 -36 = 36 + -36 Combine like terms: 36 + -36 = 0 -36 = 0 The solution to this equation could not be determined.
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