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Simplifying 4(x + -7) = 6x + -42 Reorder the terms: 4(-7 + x) = 6x + -42 (-7 * 4 + x * 4) = 6x + -42 (-28 + 4x) = 6x + -42 Reorder the terms: -28 + 4x = -42 + 6x Solving -28 + 4x = -42 + 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. -28 + 4x + -6x = -42 + 6x + -6x Combine like terms: 4x + -6x = -2x -28 + -2x = -42 + 6x + -6x Combine like terms: 6x + -6x = 0 -28 + -2x = -42 + 0 -28 + -2x = -42 Add '28' to each side of the equation. -28 + 28 + -2x = -42 + 28 Combine like terms: -28 + 28 = 0 0 + -2x = -42 + 28 -2x = -42 + 28 Combine like terms: -42 + 28 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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