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