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Simplifying 4x + -13 = 2(3x + -7) Reorder the terms: -13 + 4x = 2(3x + -7) Reorder the terms: -13 + 4x = 2(-7 + 3x) -13 + 4x = (-7 * 2 + 3x * 2) -13 + 4x = (-14 + 6x) Solving -13 + 4x = -14 + 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. -13 + 4x + -6x = -14 + 6x + -6x Combine like terms: 4x + -6x = -2x -13 + -2x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 -13 + -2x = -14 + 0 -13 + -2x = -14 Add '13' to each side of the equation. -13 + 13 + -2x = -14 + 13 Combine like terms: -13 + 13 = 0 0 + -2x = -14 + 13 -2x = -14 + 13 Combine like terms: -14 + 13 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5
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