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Simplifying 4x + 13 + -3x = 9 + 3x + -5 Reorder the terms: 13 + 4x + -3x = 9 + 3x + -5 Combine like terms: 4x + -3x = 1x 13 + 1x = 9 + 3x + -5 Reorder the terms: 13 + 1x = 9 + -5 + 3x Combine like terms: 9 + -5 = 4 13 + 1x = 4 + 3x Solving 13 + 1x = 4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 13 + 1x + -3x = 4 + 3x + -3x Combine like terms: 1x + -3x = -2x 13 + -2x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 13 + -2x = 4 + 0 13 + -2x = 4 Add '-13' to each side of the equation. 13 + -13 + -2x = 4 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = 4 + -13 -2x = 4 + -13 Combine like terms: 4 + -13 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5
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