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Simplifying 1 + -4(x + 3) = 6x + -21 Reorder the terms: 1 + -4(3 + x) = 6x + -21 1 + (3 * -4 + x * -4) = 6x + -21 1 + (-12 + -4x) = 6x + -21 Combine like terms: 1 + -12 = -11 -11 + -4x = 6x + -21 Reorder the terms: -11 + -4x = -21 + 6x Solving -11 + -4x = -21 + 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. -11 + -4x + -6x = -21 + 6x + -6x Combine like terms: -4x + -6x = -10x -11 + -10x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 -11 + -10x = -21 + 0 -11 + -10x = -21 Add '11' to each side of the equation. -11 + 11 + -10x = -21 + 11 Combine like terms: -11 + 11 = 0 0 + -10x = -21 + 11 -10x = -21 + 11 Combine like terms: -21 + 11 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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