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Simplifying 2x + -3 = 7 + -2(2x + -19) Reorder the terms: -3 + 2x = 7 + -2(2x + -19) Reorder the terms: -3 + 2x = 7 + -2(-19 + 2x) -3 + 2x = 7 + (-19 * -2 + 2x * -2) -3 + 2x = 7 + (38 + -4x) Combine like terms: 7 + 38 = 45 -3 + 2x = 45 + -4x Solving -3 + 2x = 45 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -3 + 2x + 4x = 45 + -4x + 4x Combine like terms: 2x + 4x = 6x -3 + 6x = 45 + -4x + 4x Combine like terms: -4x + 4x = 0 -3 + 6x = 45 + 0 -3 + 6x = 45 Add '3' to each side of the equation. -3 + 3 + 6x = 45 + 3 Combine like terms: -3 + 3 = 0 0 + 6x = 45 + 3 6x = 45 + 3 Combine like terms: 45 + 3 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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