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Simplifying 4(x + -21) = -3(x + -21) Reorder the terms: 4(-21 + x) = -3(x + -21) (-21 * 4 + x * 4) = -3(x + -21) (-84 + 4x) = -3(x + -21) Reorder the terms: -84 + 4x = -3(-21 + x) -84 + 4x = (-21 * -3 + x * -3) -84 + 4x = (63 + -3x) Solving -84 + 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. -84 + 4x + 3x = 63 + -3x + 3x Combine like terms: 4x + 3x = 7x -84 + 7x = 63 + -3x + 3x Combine like terms: -3x + 3x = 0 -84 + 7x = 63 + 0 -84 + 7x = 63 Add '84' to each side of the equation. -84 + 84 + 7x = 63 + 84 Combine like terms: -84 + 84 = 0 0 + 7x = 63 + 84 7x = 63 + 84 Combine like terms: 63 + 84 = 147 7x = 147 Divide each side by '7'. x = 21 Simplifying x = 21
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