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Simplifying 4x + -1(-21) = 6x + -1(7 + -13) Multiply -1 * -21 4x + 21 = 6x + -1(7 + -13) Reorder the terms: 21 + 4x = 6x + -1(7 + -13) Combine like terms: 7 + -13 = -6 21 + 4x = 6x + -1(-6) Multiply -1 * -6 21 + 4x = 6x + 6 Reorder the terms: 21 + 4x = 6 + 6x Solving 21 + 4x = 6 + 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. 21 + 4x + -6x = 6 + 6x + -6x Combine like terms: 4x + -6x = -2x 21 + -2x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 21 + -2x = 6 + 0 21 + -2x = 6 Add '-21' to each side of the equation. 21 + -21 + -2x = 6 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = 6 + -21 -2x = 6 + -21 Combine like terms: 6 + -21 = -15 -2x = -15 Divide each side by '-2'. x = 7.5 Simplifying x = 7.5
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