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Simplifying 5x + -3(2x + -2) = 3x + -4 Reorder the terms: 5x + -3(-2 + 2x) = 3x + -4 5x + (-2 * -3 + 2x * -3) = 3x + -4 5x + (6 + -6x) = 3x + -4 Reorder the terms: 6 + 5x + -6x = 3x + -4 Combine like terms: 5x + -6x = -1x 6 + -1x = 3x + -4 Reorder the terms: 6 + -1x = -4 + 3x Solving 6 + -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. 6 + -1x + -3x = -4 + 3x + -3x Combine like terms: -1x + -3x = -4x 6 + -4x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -4x = -4 + 0 6 + -4x = -4 Add '-6' to each side of the equation. 6 + -6 + -4x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = -4 + -6 -4x = -4 + -6 Combine like terms: -4 + -6 = -10 -4x = -10 Divide each side by '-4'. x = 2.5 Simplifying x = 2.5
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