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Simplifying 4(x + 7) = -3(x + -21) Reorder the terms: 4(7 + x) = -3(x + -21) (7 * 4 + x * 4) = -3(x + -21) (28 + 4x) = -3(x + -21) Reorder the terms: 28 + 4x = -3(-21 + x) 28 + 4x = (-21 * -3 + x * -3) 28 + 4x = (63 + -3x) Solving 28 + 4x = 63 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 28 + 4x + 3x = 63 + -3x + 3x Combine like terms: 4x + 3x = 7x 28 + 7x = 63 + -3x + 3x Combine like terms: -3x + 3x = 0 28 + 7x = 63 + 0 28 + 7x = 63 Add '-28' to each side of the equation. 28 + -28 + 7x = 63 + -28 Combine like terms: 28 + -28 = 0 0 + 7x = 63 + -28 7x = 63 + -28 Combine like terms: 63 + -28 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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