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Simplifying 5x + -2(x + -3) = 3(x + 2) + -4x + 3 Reorder the terms: 5x + -2(-3 + x) = 3(x + 2) + -4x + 3 5x + (-3 * -2 + x * -2) = 3(x + 2) + -4x + 3 5x + (6 + -2x) = 3(x + 2) + -4x + 3 Reorder the terms: 6 + 5x + -2x = 3(x + 2) + -4x + 3 Combine like terms: 5x + -2x = 3x 6 + 3x = 3(x + 2) + -4x + 3 Reorder the terms: 6 + 3x = 3(2 + x) + -4x + 3 6 + 3x = (2 * 3 + x * 3) + -4x + 3 6 + 3x = (6 + 3x) + -4x + 3 Reorder the terms: 6 + 3x = 6 + 3 + 3x + -4x Combine like terms: 6 + 3 = 9 6 + 3x = 9 + 3x + -4x Combine like terms: 3x + -4x = -1x 6 + 3x = 9 + -1x Solving 6 + 3x = 9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 6 + 3x + x = 9 + -1x + x Combine like terms: 3x + x = 4x 6 + 4x = 9 + -1x + x Combine like terms: -1x + x = 0 6 + 4x = 9 + 0 6 + 4x = 9 Add '-6' to each side of the equation. 6 + -6 + 4x = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 9 + -6 4x = 9 + -6 Combine like terms: 9 + -6 = 3 4x = 3 Divide each side by '4'. x = 0.75 Simplifying x = 0.75
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