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Simplifying -14(6x + -3) + 4x + -21 = 36 + -3(10x + 4) Reorder the terms: -14(-3 + 6x) + 4x + -21 = 36 + -3(10x + 4) (-3 * -14 + 6x * -14) + 4x + -21 = 36 + -3(10x + 4) (42 + -84x) + 4x + -21 = 36 + -3(10x + 4) Reorder the terms: 42 + -21 + -84x + 4x = 36 + -3(10x + 4) Combine like terms: 42 + -21 = 21 21 + -84x + 4x = 36 + -3(10x + 4) Combine like terms: -84x + 4x = -80x 21 + -80x = 36 + -3(10x + 4) Reorder the terms: 21 + -80x = 36 + -3(4 + 10x) 21 + -80x = 36 + (4 * -3 + 10x * -3) 21 + -80x = 36 + (-12 + -30x) Combine like terms: 36 + -12 = 24 21 + -80x = 24 + -30x Solving 21 + -80x = 24 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 21 + -80x + 30x = 24 + -30x + 30x Combine like terms: -80x + 30x = -50x 21 + -50x = 24 + -30x + 30x Combine like terms: -30x + 30x = 0 21 + -50x = 24 + 0 21 + -50x = 24 Add '-21' to each side of the equation. 21 + -21 + -50x = 24 + -21 Combine like terms: 21 + -21 = 0 0 + -50x = 24 + -21 -50x = 24 + -21 Combine like terms: 24 + -21 = 3 -50x = 3 Divide each side by '-50'. x = -0.06 Simplifying x = -0.06
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