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Simplifying -2x + 4 = 5 + -3(2x + -6) Reorder the terms: 4 + -2x = 5 + -3(2x + -6) Reorder the terms: 4 + -2x = 5 + -3(-6 + 2x) 4 + -2x = 5 + (-6 * -3 + 2x * -3) 4 + -2x = 5 + (18 + -6x) Combine like terms: 5 + 18 = 23 4 + -2x = 23 + -6x Solving 4 + -2x = 23 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 4 + -2x + 6x = 23 + -6x + 6x Combine like terms: -2x + 6x = 4x 4 + 4x = 23 + -6x + 6x Combine like terms: -6x + 6x = 0 4 + 4x = 23 + 0 4 + 4x = 23 Add '-4' to each side of the equation. 4 + -4 + 4x = 23 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 23 + -4 4x = 23 + -4 Combine like terms: 23 + -4 = 19 4x = 19 Divide each side by '4'. x = 4.75 Simplifying x = 4.75
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