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Simplifying 4x + -3(2x + -7) = 4(3x + -8) + 9x Reorder the terms: 4x + -3(-7 + 2x) = 4(3x + -8) + 9x 4x + (-7 * -3 + 2x * -3) = 4(3x + -8) + 9x 4x + (21 + -6x) = 4(3x + -8) + 9x Reorder the terms: 21 + 4x + -6x = 4(3x + -8) + 9x Combine like terms: 4x + -6x = -2x 21 + -2x = 4(3x + -8) + 9x Reorder the terms: 21 + -2x = 4(-8 + 3x) + 9x 21 + -2x = (-8 * 4 + 3x * 4) + 9x 21 + -2x = (-32 + 12x) + 9x Combine like terms: 12x + 9x = 21x 21 + -2x = -32 + 21x Solving 21 + -2x = -32 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 21 + -2x + -21x = -32 + 21x + -21x Combine like terms: -2x + -21x = -23x 21 + -23x = -32 + 21x + -21x Combine like terms: 21x + -21x = 0 21 + -23x = -32 + 0 21 + -23x = -32 Add '-21' to each side of the equation. 21 + -21 + -23x = -32 + -21 Combine like terms: 21 + -21 = 0 0 + -23x = -32 + -21 -23x = -32 + -21 Combine like terms: -32 + -21 = -53 -23x = -53 Divide each side by '-23'. x = 2.304347826 Simplifying x = 2.304347826
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