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Simplifying 4x + 3 = 2(-2x + 7) + -19 Reorder the terms: 3 + 4x = 2(-2x + 7) + -19 Reorder the terms: 3 + 4x = 2(7 + -2x) + -19 3 + 4x = (7 * 2 + -2x * 2) + -19 3 + 4x = (14 + -4x) + -19 Reorder the terms: 3 + 4x = 14 + -19 + -4x Combine like terms: 14 + -19 = -5 3 + 4x = -5 + -4x Solving 3 + 4x = -5 + -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 + 4x + 4x = -5 + -4x + 4x Combine like terms: 4x + 4x = 8x 3 + 8x = -5 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + 8x = -5 + 0 3 + 8x = -5 Add '-3' to each side of the equation. 3 + -3 + 8x = -5 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = -5 + -3 8x = -5 + -3 Combine like terms: -5 + -3 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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