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Simplifying 2(3x + -4) + 7 = 2x + 13 Reorder the terms: 2(-4 + 3x) + 7 = 2x + 13 (-4 * 2 + 3x * 2) + 7 = 2x + 13 (-8 + 6x) + 7 = 2x + 13 Reorder the terms: -8 + 7 + 6x = 2x + 13 Combine like terms: -8 + 7 = -1 -1 + 6x = 2x + 13 Reorder the terms: -1 + 6x = 13 + 2x Solving -1 + 6x = 13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1 + 6x + -2x = 13 + 2x + -2x Combine like terms: 6x + -2x = 4x -1 + 4x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 4x = 13 + 0 -1 + 4x = 13 Add '1' to each side of the equation. -1 + 1 + 4x = 13 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 13 + 1 4x = 13 + 1 Combine like terms: 13 + 1 = 14 4x = 14 Divide each side by '4'. x = 3.5 Simplifying x = 3.5
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